Curriculum Vitae
Here's a PDF version of my CV.
Asher Auel
Associate Professor
Department of Mathematics
Dartmouth College
6188 Kemeny Hall
27 N Main Street
Hanover, NH 03755
Email: asher * auel AT
dartmouth * edu
Web: math.dartmouth.edu/~auel/
Education
2009 May 
University of Pennsylvania, Philadelphia,
Pennsylvania, USA
Ph.D. Mathematics
Ted Chinburg, Ph.D. dissertation adviser
Title: Cohomological invariants of line bundlevalued quadratic
forms
Research areas: arithmetic geometry, quadratic forms, Ktheory

2004 Jul 
Université ParisSud XI Orsay, Paris, France
Diplôme d'Études Approfondies (DEA) Mathématiques Pures
Guy Henniart, DEA thesis adviser
Title: Une démonstration d'un théorème de Bernstein sur les représentations de quasicarréintégrable de GL_{n}(F) où F est un corps local non archimédien

2003 May 
Reed College, Portland, Oregon, USA
A.B. Mathematics
Joe P. Buhler, undergraduate thesis adviser
Title: Volumes of integer polynomials over local fields

Appointments
2021  
Department of Mathematics,
Dartmouth College, Hanover, NH, USA
Associate Professor

2019  2021 
Department of Mathematics,
Dartmouth College, Hanover, NH, USA
Assistant Professor

2014  2019 
Department of Mathematics, Yale
University, New Haven, CT, USA
Gibbs Assistant Professor

2013  2014 
Department of Mathematics, Yale
University, New Haven, CT, USA
Postdoctoral Associate

2012  2013 
Courant Institute for Mathematical
Sciences, New York University, New York, NY, USA
NSF Postdoctoral Research Fellow (Sponsor: Yuri Tschinkel)

2010  2011 
Max Planck Institute for
Mathematics, Bonn, Germany
Postdoctoral Fellow/Guest

2009  2012 
Department of Mathematics and
CS, Emory University, Atlanta, Georgia, USA
NSF Postdoctoral Research Fellow (Sponsor: R. Parimala)

Grants
20222025

National Science Foundation Grant (PI)
$360,000, DMS2200845, "The algebra and arithmetic of splitting fields" August 2022July 2025

20202025

Simons Foundation Collaboration Grant (PI)
$42,000, 712097, "Geometry of splitting fields and rationality"
September 2020August 2025 (20222025 declined)

20162018

NSA Young Investigator Grant (PI)
$39,339, H982301610321, "Azumaya algebras and rationality"
October 2016September 2018

20132015

NSA Young Investigator Grant (PI)
$39,755, H982301310291, "Clifford algebras in arithmetic and geometry"
August 2013August 2015

2011

NSA Conference Grant (coPI)
$14,800, May 2011

20102011

NSF Conference Grant (coPI)
$24,295, DMS1068423, May 2011

20092013

NSF Mathematical Sciences Postdoctoral Research Fellowship
Scientific Sponsors: R. Parimala (Emory University), Yuri Tschinkel (Courant)
$135,000, DMS0903039, September 2009July 2013

Academic Awards and Fellowships
2021 Jul

Susan and Gib Myers 1964 Faculty Fellowship
School of Arts and Sciences, Dartmouth College

2019 Dec

Walter and Constance Burke Research Initiation Award
School of Arts and Sciences, Dartmouth College

2008 Nov

CarlitzZippin Thesis Prize
Mathematics Department, University of Pennsylvania

2008 Fall

School of Arts and Sciences Dissertation Completion Fellowship
University of Pennsylvania

20042008

Calabi Fellow
Mathematics Department, University of Pennsylvania

20032004

U.S. Advanced Student Fulbright Grant (France)
Université ParisSud XI Orsay

20022003

Barry M. Goldwater Scholarship
Reed College

20012003

James B. Small Scholarship
Mathematics Department, Reed College

1998

Bronfman Youth Fellowship in Israel

Teaching Awards
2007

School of Arts and Sciences Award for Distinguished Teaching
University of Pennsylvania

2007

Penn Prize for Excellence in Teaching by Graduate Students
University of Pennsylvania

20052007

Good Teaching Award
Mathematics Department, University of Pennsylvania

2017

Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic
(with B. Hassett, A. VárillyAlvarado, and B. Viray eds.)
Progress in Mathematics, Volume 320, Birkhäuser Basel, 2017.

2022

Stickelberger's discriminant theorem for algebras
(with
Owen Biesel and John Voight), preprint
arXiv:2208.06138 (15 pp.)

2022

Maximal BrillNoether loci via K3 surfaces
(with
Richard
Haburcak), preprint arXiv:2206.04610 (29 pp.)

2021

Thinking about abstracts
Notices of the American Mathematical Society 68, no. 10
(November 2021), pp. 17551756.

2021

Explicit descent on elliptic curves and splitting Brauer classes
(with Benjamin Antieau)
preprint arXiv:2106.04291, submitted (31 pp.)

2020

Unramified Brauer groups of conic bundles threefolds in characteristic two
(with
Alessandro Bigazzi, Christian
Boehning, and HansChristian
Graf von Bothmer)
American Journal of Mathematics 143 (2021), pp. 16011631.

2020

BrillNoether special cubic fourfolds of discriminant 14
Facets of Algebraic Geometry: A Volume in Honour of William Fulton’s 80th Birthday, Volume 1 (editors Paolo Aluffi, David Anderson, Milena Hering, Mircea Mircea Mustață, Sam Payne), London Mathematical Society Lecture Note Series 472 (2022), Cambridge University Press, pp. 2953.

2020

Conic bundles fourfolds with nontrivial unramified Brauer group
(with
Christian
Boehning, HansChristian Graf von Bothmer, and Alena Pirutka)
Journal of Algebraic Geometry 29 (2020), pp. 285327.

2019

Universal triviality of the Chow group of 0cycles and the Brauer group
(with
Alessandro Bigazzi, Christian
Boehning, and HansChristian
Graf von Bothmer)
International Mathematics Research Notices, rnz171 (2019)

2019

The mathematics of Grace Murray Hopper
Notices of the American Mathematical Society 66 (March 2019),
pp. 330340.

2018

Failure of the localglobal principle for isotropy of quadratic forms over function fields
(with
V. Suresh)
preprint (7 pp.)

2018

Periodindex bounds for arithmetic threefolds
(with
Benjamin Antieau, Colin Ingalls, Daniel Krashen, Max Lieblich)
Inventiones Mathematicae 26 (2019), no. 2, pp. 301335.

2018

Azumaya algebras without involution
(with Uriya First and Ben Williams)
Journal of the European Mathematical Society 21 (2019), no. 3, pp. 897921.

2018

Stable rationality of quadric and cubic surface bundle fourfolds
(with
Christian
Boehning and Alena Pirutka)
European
Journal of Mathematics 4 (2018), no. 3, pp. 732760.

2018

Some nonspecial cubic fourfolds
(with
Nick Addington)
Documenta Mathematica 23 (2018), pp. 637651.

2018

Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields
(with Marcello Bernardara)
Proceedings of the London Mathematical Society 117 (2018),
no. 1, pp. 164

2017

Cycles, derived categories, and rationality
(with Marcello Bernardara)
in Surveys on Recent Developments in Algebraic Geometry, Proceedings
of Symposia in Pure Mathematics, vol. 95, Amer. Math. Soc.,
Providence, RI, 2017, pp. 199266.

2017

Universal unramified cohomology of cubic fourfolds containing a plane
(with JeanLouis
ColliotThélène and R. Parimala)
in Brauer Groups and Obstruction Problems: Moduli Spaces and
Arithmetic, Progress in Mathematics, vol. 320, Birkhäuser Basel, 2017,
pp. 2956.

2015

Surjectivity of the total Clifford invariant and Brauer dimension
Journal of Algebra 443 (2015), pp. 395421.

2015

Quadric surface bundles over surfaces,
(with
R. Parimala and
V. Suresh)
Documenta Mathematica, Extra Volume: Alexander S. Merkurjev's Sixtieth
Birthday (2015), pp. 3170.

2014

Cubic fourfolds containing a plane and a quintic del Pezzo surface,
(with
Marcello Bernardara,
Michele
Bolognesi, and
Anthony VárillyAlvarado)
Compositio Algebraic Geometry 1 (2014), issue 2, pp. 181193.

2014

Fibrations in complete intersections of quadrics, Clifford
algebras, derived categories, and rationality problems,
(with
Marcello Bernardara and
Michele
Bolognesi)
Journal de Mathématiques Pures et
Appliquées 102 (2014), issue 1, pp. 249291.

2013

Failure of the localglobal principle for isotropy
of quadratic forms over surfaces
Quadratic Forms and Linear Algebraic Groups, Oberwolfach Reports 10 (2013), issue 2, report 31, pp. 18231825.

2013

The transcendental lattice of the sextic Fermat surface
(with
Christian
Boehning and HansChristian Graf von Bothmer)
Mathematical Research Letters 20 (2013), no. 6, pp. 10171031.

2013

Exceptional collections of line bundles on projective homogeneous varieties,
(with
Alexey Ananyevskiy,
Skip Garibaldi,
and
Kirill Zainoulline)
Advances in Mathematics 236 (2013), pp. 111130.

2013

Vector bundles of rank 4 and A_{3}=D_{3},
International Mathematical Research Notices 2013 (2013), no. 15, pp. 34503476.

2012

Remarks on the Milnor conjecture over schemes,
GaloisTeichmüller Theory and Arithmetic Geometry (Kyoto, 2010),
Advanced Studies in Pure Mathematics 63, 2012, pp. 130

2011

Clifford invariants of line bundlevalued quadratic forms,
MPIM preprint
series 2011 (33), 55 pp.

2011

Open problems on central simple algebras,
(with Eric Brussel,
Skip Garibaldi, Uzi Vishne)
Transformation Groups 16, Issue 1 (2011), pp. 219264.

2009

Cohomological invariants of line bundlevalued symmetric bilinear
forms
(Ph.D. thesis at the University of Pennsylvania, May 2009) with advisor Ted Chinburg)
(submitted version, or the better single spaced version)

2004

Une démonstration d'un théorème de Bernstein
sur les représentations de
quasicarréintégrable de GL_{n}(F)
où F est un corps local non archimédien
(DEA Thesis, ParisSud Orsay
XI, July 2004), with advisor Guy Henniart
(submitted [PDF])

2003

Volumes of integer polynomials over local fields
(Undergraduate Thesis, Reed College, May 2003), with adviser Joe P. Buhler
(submitted [PDF], with
hiresolution images)

Mentoring
2022

Potdoc Mentor: Sarah Frei (John Wesley Young Research Instructor)

2021

Potdoc Mentor: Jack Petok (lecturer)

2020

Faculty advisor for the Directed Reading
Program at Dartmouth.

2020

PhD Advisor: Richard Haburcak (5rd year student)

2020

Premajor Advisor for first year undergraduate students at Dartmouth College.

20182019

Graduate student advisor in Yale Emerging Scholars
Initiative Postbaccalaureate Research Education Program (ESI PREP):

20152018

Senior undergraduate research project advisor at Yale:
 Claire Thompson (Spring 2019, now on Wall Street)
 Connor HalleckDube (Fall 2018, now Ph.D. student at Berkeley)
 Elijah Gunther (Spring 2018, now Ph.D. student at UPenn)
 Stanislav Atanasov (Spring 2017, now Ph.D. student at Columbia)
 Louis Gaudet (Fall 2015, now Ph.D. student at Rutgers)

20162018

Academic advisor for undergraduate mathematics majors at Yale.

20182019

Academic advisor for first year female STEMinterested students at Grace Hopper College, Yale.

2015 Mar

Study group leader for graduate students learning about K3 surfaces
during the Arizona Winter School 2015.

20142016

Coorganized learning seminar for graduate students to prepare for talks in Yale’s Algebraic and Tropical Geometry seminar

2013 Feb

Mock orals chair for graduate student at Courant Institute, New York University

20062008

Member of the Penn Mathematics Department Master TA Program,
responsible for organizing a week long teacher training program in the
Fall and conduct longterm evaluation of incoming graduate students.

2001, 2003

Type I Wildland Firefighter (Squad Boss), Eagle
Pass Reforestation Inc., Jacksonville, OR. Responsible for safety and
personnel management of a 20 person hand crew during summer wildland
fire seasons.

Outreach
2019

Participation in What's the
Big Idea?, outreach program connecting classrooms to researchers through video interviews, Hanover, NH

2017

Participation in Synapse
Resonance, an outreach program of the Yale Scientific
Magazine aimed at high school students
interested in STEM fields.

2016

Participation in Math Mornings ,
a series of public lectures aimed at middle school students
interested in math. Article
about event, where I am quoted.

201617

Participation in Iota, named for the inclusion map, which is a
group of undergraduate math majors concerned with issues of diversity
and inclusion in the Yale Mathematics Department. Consulted with the
group about the creation of a peertutoring program for upper level
math courses.

2015

Participated in organization of Art of the Equation, exhibition of prints and public lecture with David Mumford at the Yale University Art Gallery. Presented about mathematicians and chalk. Covered in Scientific American Blog and in David Mumford's blog.

2014

Participated in Pathways
to Science Café, a high school science outreach program in New Haven, CT.

2013 Nov

Organized movie screening of Colors of Math including a conversation with executive
producer Yuri Tschinkel at Yale Humanities Center.

Service
2020

Selection Committee, Biographies of Contemporary Women in Mathematics,
Dartmouth College Mathematics Department

2020

AdHoc Preliminary Exam Committee, Dartmouth College Mathematics
Department

2020

Graduate Recruiting Chair, Dartmouth College Mathematics Department

2020

Graduate Admissions Committee, Dartmouth College Mathematics Department

2019

Recruitment Committee, Dartmouth College Mathematics Department

20152017

Yale Mathematics Department Algebra Qualifying Exam Board

20142015

Yale Mathematics Department Graduate Admissions Committee (cochair)

20142018

Yale Mathematics Department Website Committee (chair)

2013 Sep

Organized academic jobs information session and panel for graduate
students, Yale University

2011

Zentralblatt MATH reviewer

2009 Jan

Chaired AMS Session on Number Theory, III, at the Joint
Mathematics Meetings, Wednesday, January 7th,
2009, together with Emma Previato.

20072008

Member of a graduate student committee (together with
Andrew Obus and Shea VelaVick)
spearheading the development of an honors calculus course, Math 116/260, to be first
offered at Penn in Fall 2008.

20042008

Bicycle Mechanic Volunteer Facilitator, Neighborhood Bicycle
Works, Philadelphia, PA. A nonprofit educational organization
that seeks to increase opportunities for urban youth through bicycling.

Editorial Work

Referee for Advances in Applied Clifford Algebras, Advances in Geometry, Advances in Mathematics, Algebra and Number Theory, Algebraic Geometry, American Journal of Mathematics,
Annals of KTheory, Annales de l’institut Fourier, Annali della Scuola Normale Superiore di
Pisa, Acta Mathematica, Bulletin des Sciences Mathéematiques,
Canadian Journal of Mathematics, Canadian Mathematical Bulletin, Compositio Mathematica, Documenta
Mathematica, Duke Mathematical Journal, Forum Mathematicum, Geometriae Dedicata,
Geometry and Topology, Glasnik Matematicki, Indian Journal of Pure and Applied
Mathematics, International Mathematics Research Notices, Inventiones
mathematicae, Journal de l’Ecole Polytéchnique, Journal de
Théorie des Nombres de Bordeaux, Journal für die reine
und angewandte Mathematik, Journal of Algebraic Geometry, Journal of
the AMS, Journal of Ktheory, Journal of Pure and Applied
Algebra, Linear Algebra and Applications, Manuscripta Mathematica,
Mathematische Zeitschrift, Michigan Mathematical Journal, Notices of
the American Mathematical Society, Pacific Journal of Mathematics,
Proceedings of Edinburgh Mathematical Society, Proceedings of the
London Mathematical Society, Proceedings of the AMS, Rendiconti Padova, Research in the
Mathematical Sciences, Revista Matematica Complutense, Transactions of the AMS, and various conference proceedings volumes.

Graphic Design
2018

Biannual Algebraic and Tropical
Meetings of Brown and YaLE (BATMOBYLE), Yale University,
November 29

2017

Biannual Algebraic and Tropical
Meetings of Brown and YaLE (BATMOBYLE), Yale University,
November 30

2016

Breaking Enigma the first time,
undergraduate
colloquium talk by David Saltman about the history of the Enigma cipher machines
used by the German Armed Forces during World War II, Yale
University, September 28

2016

Biannual Algebraic and Tropical
Meetings of Brown and YaLE (BATMOBYLE), Yale University,
April 28

2016

Algebraic Geometry Northeastern
Series (AGNES) Spring 2016 at Yale University, April 810

2015

Biannual Algebraic and Tropical
Meetings of Brown and YaLE (BATMOBYLE), Yale University,
December 10

2014

Biannual Algebraic and Tropical
Meetings of Brown and YaLE (BATMOBYLE), Yale University, November 20

2013

Colors of Math, movie (by
Ekaterina Eremenko)
screening at Yale University, November 21, with executive producer
Yuri Tschinkel

2012

Cubic Surfaces, 27 Lines, and
Icosehedra, Courant Institute for Mathematical Sciences, New York
University, November 7, undergraduate lecture by Marcello
Bernardara about cubic surfaces, icosehedra, and linear
perspective in 14th century Italian art

2011

Ramification in Algebra and Geometry
(RAGE), Emory University, May 1620

Research Seminar Organizing
Conference/Workshop Organizing
2019

New
Facets (early career workshop preceeding Facets of Algebraic
Geometry conference), University of Michigan, Ann Arbor,
October 18, with Melody Chan, Tyler Foster, and Milena Hering.

2018

Biannual
Algebraic and Tropical Meetings of Brown and YaLE
(BATMOBYLE), Yale University, November 29, 2018, with Kalina
Mincheva and Yuchen Liu.

2018

Birational
Geometry and Arithmetic,
Institute for Computational and
Experimental Research in Mathematics (ICERM), Providence, RI,
May 1418, with Marta
Pieropan, Sho
Tanimoto, Yuri
Tschinkel, Anthony VárillyAlvarado.

2017

Biannual
Algebraic and Tropical Meetings of Brown and YaLE
(BATMOBYLE), Yale University, November 30, 2017, with Max
Kutler, Yuchen Liu, Sam Payne.

2016

Biannual
Algebraic and Tropical Meetings of Brown and YaLE
(BATMOBYLE), Yale University, April 28, 2016, with Angie Cueto, José González, and Sam Payne.

2016

Algebraic Geometry Northeastern Series (AGNES), Yale University, April 810, 2016, with José González and Sam Payne.

2015

Biannual
Algebraic and Tropical Meetings of Brown and YaLE
(BATMOBYLE), Yale University, December 10, 2015, with Angie Cueto, José González, and Sam Payne.

2015

Rational
points/Pontos racionais, Special Thematic Trimester in Algebraic Geometry, Instituto
Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro,
Brazil, May 2529, 2015, with Cecília Salgado and Anthony
VárillyAlvarado

2015

Special Session on Quadratic Forms in Arithmetic and Geometry, AMS Spring Southeastern Sectional Meeting,
University of Alabama in Huntsville, Huntsville, AL,
March 2729, 2015, with Jorge Morales and Anne QuéguinerMathieu

2014

Biannual
Algebraic and Tropical Meetings of Brown and YaLE
(BATMOBYLE), Yale University, November 20, 2014, with Angie Cueto, José González, Nathan
Kaplan, and Sam Payne.

2014

Special
Session on Exceptional Groups in Physics, Algebra, and
Geometry, AMS Fall Southeastern Sectional Meeting,
University of North Carolina at Greensboro, Greensboro, NC,
November 89, 2014, with Anthony Ruozzi and George McNinch

20142016

The geometry of
Azumaya algebras in dimension 3, SQuaREs (Structured Quartet
Research Ensembles), American Institute
of Mathematics, July 2125, 2014,
with Ben Antieau, Colin Ingalls, Danny Krashen, and Max Lieblich

2013

Brauer groups and obstruction
problems: moduli spaces and arithmetic at American Institute
of Mathematics, Feb 25Mar 1, 2013,
with Brendan Hassett, Tony VárillyAlvarado, and Bianca Viray

2013

AWMAMS Special
Session on The Brauer Group in Algebra and Geometry, Joint
Mathematics Meetings, San Diego, California, January 912, 2013
with Kelly McKinnie
and V. Suresh

2011

Ramification in Algebra and Geometry at Emory University, May 1620 2011,
with Eric Brussel, Skip Garibaldi, Daniel Krashen, and R. Parimala
Funding: DMS1068423, $24,295 (coPI) and NSA conference grant, $14,800 (coPI)

Workshops Attended/Visits
2020

AGNES @ Stony Brook
Stony Brook University (virtual), October 2325.

2019

Workshop on Rationality Problems in Algebraic Geometry
American Institute of Mathematics,
San Jose, CA, July 29August 2.

2018

Affine Algebraic Groups, Motives and Cohomological Invariants
Banff International Research
Station, Alberta, Canada, September 1621.

2018

Classical
Algebraic Geometry
Mathematisches Forschungsinstitut Oberwolfach,
Black Forest, Germany, July 1521.

2018

Institut de Mathématiques
Visiting Marcello
Bernardara, Toulouse, France, July 1014.

2018

Birational Geometry and Arithmetic
Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, RI, May 1418.

2018

AGNES @ Rutgers 2018
Rutgers University, New Brunswick, NJ, April 1315.

2018

Quadratic
Forms in Chile 2018 Summer School: Quadratic forms over function fields
Universidad de Santiago de Chile, Santiago, Chile, January 25.

2017

AGNES @ Northeastern 2017
Northeastern University, Boston, MA, October 1315.

2017

Simons Conference on Birational Geometry
Simons Foundation Center, New York, NY, August 2125.

2017

ALGAR
2017: Quadratic Forms and LocalGlobal Principles,
University of Antwerp, Belgium, July 37.

2017

AGNES @ Stony Brook 2017
Stony Brook University, Stony Brook, NY, April 2123.

2017

New Trends in Arithmetic and Geometry of Algebraic Surfaces
Banff International Research
Station, Alberta, Canada, March 1217.

2016

AGNES @ UMass Amherst 2016
University of Massachusetts, Amherst, MA, November 46.

2016

Alberta British Columbia (ABC) Algebra Workshop
University of Alberta, Edmonton, Alberta, Canada, October 2931.

2016

Interacting Algebraic Geometry
Institute de Mathématiques de Bourgogne, University of Burgundy,
Dijon, France, July 48.

2016

New methods in birational geometry
International Centre for Mathematics and Computer Science (CIMI),
University of Toulouse, France, June 27July 1.

2016

Birational geometry and reduction to positive characteristic
Edge Days, University of Edinburgh, Scotland, UK, June 35.

2016

Geometry over nonclosed fields
Simons Symposium, Schloss Elmau, Bavaria, Germany, April 1723.

2016

AGNES @ Yale University 2016
Yale University, New Haven, CT, April 810.

2016

Unramified cohomology, derived categories, and rationality
FRG MiniWorkshop, University of Utah, Salt Lake City, UT, February 2628.

2015

AGNES @ Brown University 2015
Brown University, Providence, RI, October 24.

2015

LocalGlobal Principles and Their Obstructions
FRG Workshop, University of Pennsylvania, Philadelphia, PA, October 13.

2015

The Use of Linear Algebraic Groups in Geometry and Number Theory
Banff International Research
Station, Alberta, Canada, September 1318.

2015

AMS Summer Institute in Algebraic Geometry
University of Utah, Salt Lake City, UT, July 2731.

2015

Arizona Winter School 2015: Arithmetic and HigherDimensional Varieties
University of Arizona, Tucson, March 1418.

2015

Algebra/Algebraic Geometry Group
University of Michigan, Ann Arbor, February 26, visiting Bill Fulton.

2014

The geometry of
Azumaya algebras in dimension 3
American Institute of Mathematics, Palo Alto, CA, July 2125.

2014

Workshop on Tropical Foundations
Yale Univesity, New Haven, CT, May 1114.

2014

AGNES @ Penn 2014
University of Pennsylvania, Philadelphia, PA, October 31November 2.

2013

Quadratic Forms and Linear Algebraic Groups Worshop
Mathematisches Forschungsinstitut Oberwolfach,
Black Forest, Germany, June 1622.

2013

Spring School and Workshop on Torsors, Motives and Cohomological Invariants
Fields Institute, Toronto, Ontario,
Canada, May 1417.

2013

AGNES @ Yale 2013
Yale University, New Haven, CT, April 1921.

2013

Brauer groups and obstruction problems: moduli spaces and arithmetic
American Institute of Mathematics,
Palo Alto, CA, February 25  March 1.

2012

Arizona
Winter School 2012: Ramification in Geometry
Mathematics Department, University of Arizona, March 1014.

2011

IRMAR algebraic geometry group visitor
Université de Rennes 1,
France, June 1317, visiting Michele Bolognesi.

2011

Institut de Mathématiques de Bordeaux number theory
group (A2X) visiter
Université Bordeaux I, June 610, visiting Philippe CassouNoguès.

2011

Ramification in Algebra
and Geometry
Emory University, Atlanta, GA, May 1620

2011

Forschungsinstitut für Mathematik guest researcher
Eidgenössische Technische
Hochschule, Zürich, Switzerland, May 26, visiting MaxAlbert Knus.

2011

Progrès récents en théorie des modules galoisiens
Centre International de Rencontres Mathématiques, Luminy,
Marseilles, France, March 2125.

2010

RIMSCampStyle Seminar: Galoistheoretic
Arithmetic Geometry,
International Institute for Advanced Studies, Kyoto, Japan, October 1924.

2010

Lens MiniCourse 2010 Linear Algebraic Groups and Quadratic Forms:
Patching, Involutions, and Buildings
Université d'Artois, Lens, France, June 1418.

2010

The
Brauer Group in Israel
Kibbutz Ketura, Israel, January 311.

2009

NonAbelian Fundamental Groups in Arithmetic Geometry Final Workshop,
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK,
December 1418.

2009

Linear
Algebraic Groups and Related Structures
Banff International Research
Station, Alberta, Canada, September 1318 .

2009

Arizona Winter
School 2009: Quadratic Forms
Southwest Center for Arithmetic Geometry, University of Arizona, March
1418. Full funding to attend.

2008

MIMS shortterm visitor
School of Mathematics, University of Manchester, May 7June 6, visiting Martin Taylor

2008

IMB Number Theory Group (A2X) research visiter
Institut de Mathématiques de Bordeaux, Université Bordeaux I, May 1925, visiting Philippe CassouNoguès

2007

Fields Institute Summer School in Iwasawa Theory
Mathematics Department, McMaster University, August 913. Full funding to attend.

2007

Arizona Winter School 2007: padic geometry
Mathematics Department, University of Arizona, March 1014. Full funding to attend.

2006

Clay Mathematics Institute 2006 Summer School: Arithmetic Geometry
Mathematisches Institut, GeorgAugustUniversität, Göttingen, July 17August 11. Full funding to attend.

Talks
2022 Jan

Brauer classes split by genus one curves
QFLAG: Quadratic forms, Linear algebraic
groups and Beyond (virtual)

2021 Nov

Recent breakthroughs in the rationality problem
Colloquium, Rice University, Houston (virtual)

2021 Apr

BrillNoether theory for cubic fourfolds
Hodge seminar, University of Edinburgh, UK (virtual)

2021 Apr

Brauer classes split by genus one curves
QuebecVermont Number Theory
Seminar, Quebec City/Montreal/Burlington (virtual)

2021 Mar

The localglobal principle for quadratic forms over function fields
Number Theory and
Algebraic Geometry Seminar, Simon Fraser University, British
Columbia, Canada (virtual)

2021 Feb

BrillNoether theory for cubic fourfolds
Algebraic Geometry Seminar, University of Warwick, UK (virtual)

2021 Jan

The localglobal principle for quadratic forms over function fields II
Algebra and Number Theory
Seminar,
Dartmouth College (virtual)

2021 Jan

The localglobal principle for quadratic forms over function fields
Joint Mathematics Meetings, AMS Special Session on Galois Cohomology in
Arithmetic Geometry (virtual)

2020 Oct

Sextic normal genus one curves
Algebra and Number Theory
Seminar,
Dartmouth College (virtual)

2020 Oct

BrillNoether special cubic fourfolds
Special
Session on Geometry and Arithmetic of Hyperkähler Manifolds,
Fall Southeastern AMS Sectional Meeting, University of Tennessee, Chattanooga (virtual)

2020 June

Elliptic curves and the localglobal principle for quadratic forms
Connecticut
Summer School in Number Theory 2020 Conference, University of
Connecticut, Storrs (virtual)

2020 May

The localglobal principle for quadratic forms over function fields
Séminaire Variétés Rationnelles, Sorbonne Université Jussieu, Paris

2019 Oct

Brauer classes split by genus one curves
2019 Maine/Québec Number Theory Conference, University of Maine, Orono

2019 Jul

Unramified cohomology and the specialization method
American Institute of Mathematics, Workshop on Rationality Problems in
Algebraic Geometry, July 29August 2

2019 Apr

Torsors over moduli of genus one curves and splitting Brauer classes
Algebraic Geometry Seminar, Courant Institute of Mathematical
Sciences, New York University, New York, NY

2019 Jan

Quadratic forms in four variables
Colloquium, Dartmouth College, Hanover, NH (poster)

2018 Sep

Isotropy of quadratic forms over function fields
Affine Algebraic Groups, Motives and Cohomological Invariants,
Banff International Research Station, Alberta, Canada 
2018 May

Noether's problem
Colloquium, Dartmouth College, Hanover, NH (poster)

2018 May

The localglobal principle for quadratic forms over function fields
Algebra and Number Theory Seminar, Dartmouth College, Hanover, NH

2018 May

The periodindex problem for surfaces over a local field
Biannual Algebraic and Tropical Meetings of
Brown and YaLE (BATMOBYLE), Massachusetts Institute of Technology,
Boston, MA

2018 Mar

Noether's problem
Colloquium, Reed College, Portland, OR

2018 Mar

Noether's problem
Yale Undergraduate Math Society seminar, Yale University, New Haven, CT

2018 Feb

Rationality of twothree fourfolds
Algebraic
Geometry Seminar, Yale University, New Haven, CT

2018 Jan

A tale of twothree fourfolds
Algebraic Geometry Seminar, University of Michigan, Ann Arbor, MI

2018 Jan

Quadratic forms over function fields of complex curves and surfaces
(3 lecture series)
Quadratic
forms in Chile 2018 Summer School: Quadratic forms over function
fields, Universidad
de Santiago de Chile, Santiago, Chile

2017 Dec

The localglobal principle for isotropy over function fields
Algebra
seminar, University of Pennsylvania, Philadelphia, PA

2017 Dec

Platonic solids (Tedx Yale)
Synapse
Resonance, Outreach program of the Yale Scientific Magazine, New
Haven, CT

2017 Oct

The localglobal dimension spectrum of quadratic forms
Algebraic Geometry Seminar, Courant Institute of Mathematical
Sciences, New York University, New York, NY

2017 Aug

Segre fourfold and sextic del Pezzo fibrations
Simons Conference on Birational Geometry, New York, NY

2017 Jul

Localglobal principles in number theory and geometry (3 talk lecture series)
ALGAR 2017: Quadratic Forms and LocalGlobal Principles, University of Antwerp, Belgium

2017 Mar

Geometry via counting points
Colloquium, Center for Communications Research, Princeton, NJ

2017 Mar

Decomposition of the diagonal and phantom categories on surfaces
New Trends in Arithmetic and Geometry of Algebraic Surfaces,
Banff International Research Station, Alberta, Canada 
2016 Nov

Stable rationality of conic bundle fourfolds
AGNES Fall 2016,
University of Massachusetts, Amherst, MA

2016 Oct

The torsion order of an algebraic variety
Algebraic Geometry Seminar, University of British Columbia, Vancouver,
Canada

2016 Oct

Stable rationality of conic bundle fourfolds
Alberta British Columbia (ABC) Algebra Workshop
University of Alberta, Edmonton, Alberta, Canada

2016 Oct

Platonic solids and symmetry
Math Mornings (public
outreach lecture series), Yale University, New Haven, CT

2016 Oct

Packing in lattices
Yale Undergraduate Mathematics Society, Yale University, New Haven, CT

2016 Jul

Torsion universal 0cycles on fibrations
Interacting Algebraic Geometry, Institute de Mathématiques de Bourgogne, University of Burgundy,
Dijon, France

2016 Jun

The torsion order of an algebraic variety
New methods in birational geometry, International Centre for Mathematics and Computer Science (CIMI),
University of Toulouse, France

2016 Jun

Stable rationality of some fibrations
Edge Days, Birational geometry and reduction to positive characteristic, University of Edinburgh, Scotland, UK

2016 Jun

BrillNoether theory for cubic fourfolds
Edge Algebra Seminar, University of Edinburgh, Scotland, UK

2016 Apr

Universal triviality of 0cycles and the degeneration method
Algebraic Geometry Seminar, University of Illinois, Chicago, IL

2016 Apr

Stable rationality of quadric bundles
Simons Symposium,
Geometry
over nonclosed fields, Schloss Elmau, Bavaria, Germany
Lecture notes

2016 Mar

Limits of pfaffian cubic fourfolds
Algebraic Geometry Seminar, Courant Institute of Mathematical
Sciences, New York University, New York, NY

2016 Feb

Rationality and 0cycles & 0cycles on cubics (two talk lecture series)
FRG MiniWorkshop, Unramified cohomology, derived categories, and rationality, University of Utah, Salt Lake City, UT

2016 Jan

The rationality problem in algebraic geometry
Colloquium, University of Connecticut, Storrs, CT

2015 Oct

Curves, K3 surfaces, and cubic fourfolds
Algebra Seminar, University of Connecticut, Storrs, CT

2015 Oct

Localglobal obstructions for quadrics over function fields
LocalGlobal
Principles and Their Obstructions, FRG Workshop,
University of Pennsylvania, Philadelphia, PA 
2015 Sep

Algebras of composite degree split by genus one curves
The Use of Linear Algebraic Groups in Geometry and Number Theory,
Banff International Research Station, Alberta, Canada 
2015 Sep

BrillNoether theory for cubic fourfolds
Algebraic and Tropical Geometry Seminar, Yale Univeristy, New Haven, CT

2015 Jul

BrillNoether special cubic fourfolds
AMS Summer Institute in Algebraic Geometry, University of Utah, Salt
Lake City, UT 
2015 Apr

How to take the derivative of the Dirac delta function
Yale Undergraduate Mathematics Society, Yale University, New Haven, CT

2015 Mar

On the Euclidean Division (on behalf of Eva Bayer)
Invited Address, AMS Spring Southeastern Sectional Meeting, University of Alabama in Huntsville, AL

2015 Feb

Pfaffian cubic fourfolds and curves of genus 8
Algebraic Geometry Seminar, Stony Brook University, Stony Brook, NY

2015 Feb

Cycles on cubic fourfolds
Algebraic Geometry Seminar, University of Michigan, Ann Arbor, MI

2015 Feb

Recent upsets in some rationality problems
Colloquium, University of Michigan, Ann Arbor, MI

2014 Oct

Quadratic forms of low dimension
Junior Colloquium, Yale University, New Haven, CT

2014 Oct

Pick's Theorem
Pathways to Science Café, Yale University, New Haven, CT

2014 Sep

Points, lines, and surfaces in cubic fourfolds
Valley Geometry Seminar, University of Massachussetts, Amherst, MA

2014 Sep

The geography of cubic fourfolds
Secret Tropical and Algebraic Geometry Seminar, Yale University, New Haven, CT

2014 Jun

Crab puzzles on lattices
Summer Undergraduate Mathematics Research at Yale (SUMRY) Colloquium, Yale University, New Haven, CT

2014 Apr

Points, lines, and conics
Yale Undergraduate Math Society, Yale University, CT

2014 Mar

Azumaya algebras without involution
Special Session on Galois Cohomology and the Brauer Group, AMS
Southeastern Spring Sectional Meeting, University of Tennessee, Knoxville, TN

2014 Mar

Points and conics
Math Club, University of Connecticut, Storrs, CT

2014 Feb

Central simple algebras in algebra and geometry I/II (series of two talks)
Algebra and Lie Group Seminar, Yale University, New Haven, CT

2014 Jan

The rationality question for cubic fourfolds
Algebra Seminar, University of Connecticut, Storrs, CT

2013 Oct

A game on the exceptional group G_{2} and a conjecture
concerning flag varieties
Algebra Seminar, Wesleyan University, Middletown, CT

2013 Sept

Three approaches to the rationality problem for cubic fourfolds
Algebraic and Tropical Geometry Seminar, Yale University, New Haven, CT

2013 Jun

Failure of the localglobal principle for isotropy of quadratic forms
over surfaces
Quadratic Forms and Linear Algebraic Groups, Oberwolfach, Germany

2013 May

Orthogonal group schemes with simple degeneration
Spring School on Torsors, Fields Institute, Toronto, Ontario, Canada

2013 Apr

Unramified cohomology of cubic fourfolds
Algebraic Geometry Seminar, Courant Institute, New York University,
New York, NY

2013 Apr

Rational cubic fourfolds containing a plane
Algebraic Geometry Seminar, Brown University, Providence, RI

2013 Feb

Cubic fourfolds containing a plane and a quartic scroll
Algebraic Geometry Seminar, Columbia University, New York, NY

2013 Feb

Quaternions over quadratic rings and quaternary quadratic forms
Number Theory Seminar, MIT, Boston, MA

2013 Feb

Introduction to padic Hodge theory (two 1.5 hour talks)
Lucien Szpiro's Impromptu Seminar, CUNY Graduate Center, New York, NY

2013 Feb

Exceptional collections of line bundles on projective homogeneous G_{2}varieties
Algebraic Geometry Seminar, Courant Institute, New York University,
New York, NY

2013 Jan

The anabelian conjectures for proper padic curves (d'après Mochizuki)
Lucien Szpiro's Impromptu Seminar, CUNY Graduate Center, New York, NY

2013 Jan

Quadric surface bundles and quaternion algebras
AMS Special Session on Number Theory and Geometry, Joint Mathematics
Meeting, San Diega, CA

2012 Oct

Nontrivial rational cubic fourfolds containing a plane
Algebra Seminar, University of Pennsylvania, Philadelphia, PA

2012 Sep

Quadric surface bundles and quaternion algebras over surfaces
Algebraic Geometry Seminar, Courant Institute, New York University,
New York, NY

2012 May

Quadric surface bundles over surfaces
Algebra Seminar, University of Pennsylvania, Philadelphia, PA

2012 Mar

Fröhlich twisting via orthogonal motives
Special Session on Hopf Algebras and Galois Module Theory,
2012 Spring Southeastern Section Meeting,
University of South Florida, Tampa,
March 1011

2011 Oct

Rationality of families of intersections of quadrics and derived categories
Algebraic Geometry seminar, Rice University, Houston, TX

2011 Aug

Pascal's rule for vector bundles of rank 4
Algebra and Number Theory seminar, Emory University, Atlanta, GA

2011 Jun

Quadratic forms over curves
Number theory seminar, Technische Universität Dortmund, Germany

2011 Jun

Rationalité des cubiques de dimension quatre et algèbres de Clifford
Algebraic geometry seminar, Université de Rennes 1, France

2011 Jun

Les invariants de CliffordHasseWitt sur les courbes padiques
et les surfaces sur les corps finis
Number theory seminar, Université de Bordeaux 1, France

2011 Jun

Décomposition motivique des quadriques et des espaces homogènes
projectifs
Groupe de travail Géométrie Algébrique et Géométrie Arithmétique
(GAGA), Université de Bordeaux 1, France

2011 June

Zéros des formes quadratiques sur les corps globaux
Séminaire "JouvePazuki", Université de Bordeaux 1, France

2011 Jan

Milnor's conjecture for padic curves
Number theory lunch seminar, MaxPlanckInstitut für
Mathematik, Bonn, Germany

2010 Dec

Decompositions of rank four vector bundles
Oberseminar, Universität
DuisburgEssen, Essen, Germany

2010 Dec

Rank four vector bundles on fourfolds and "exceptional"
isomorphisms of linear algebraic groups
The MAThematics Center
Heidelberg (MATCH), Faculty of Mathematics and Computer Sciences,
Universität Heidelberg, Germany

2010 Nov

Rank four vector bundles on fourfolds
Seminar
Algebraic Geometry (SAG), Universität Bonn, Germany

2010 Oct

A Milnor conjecture for padic curves
RIMSCampStyle seminar Galoistheoretic
Arithmetic Geometry,
International Institute for Advanced Studies, Kyoto, Japan

2010 Oct

A Milnor conjecture for padic curves
Nachwuchskonferenz: Young Researchers in Arithmetic and Algebraic Geometry,
Johannes GutenbergUniversität, Mainz, Germany

2010 Jun

Involutions on Clifford algebras of line bundlevalued quadratic forms
Lens MiniCourse 2010, Université d'Artois, Lens, France

2010 Feb

Chow groups of quadrics I/II (two talks)
Algebra Seminar, Emory University

2010 Jan

(Non)surjectivity of the Clifford invariant
Brauer
Group in Israel, Kibbutz Ketura, Israel

2009 Nov

Essentially selfdual vector bundles on algebraic varieties
Algebraic Geometry Seminar, Duke
University, Durham, NC

2009 Nov

Quaternions and conic sections: from algebra to geometry
Mathematics colloquium Wake Forest University,
WinstonSalem, NC

2009 Oct

Clifford sequences in the theory of line bundlevalued quadratic forms over arithmetic schemes
2009 Fall Southeastern Meeting, Special
Session on Arithmetic Geometry, Boca Raton, FL.

2009 Oct

Invariants of quadratic forms over algebraic varieties
Number Theory Seminar, University of Georgia Athens

2009 Oct

Steenrod squares in Chow groups I/II (two talks)
Algebra Seminar, Emory University

2009 Sep

A Clifford invariant for line bundlevalued quadratic forms
LAG
workshop, Banff International Research
Station, Alberta, Canada.

2009 Sep

Mod 4 invariants of line bundlevalued quadratic forms
Algebra Seminar, Emory University

2009 Jan

Characteristic classes and root numbers for motives associated to
GO_{n}
Joint Mathematics Meetings 2009, Washington, DC

2008 Dec

Characteristic classes for essentially selfdual Galois
representations
Galois Seminar, University of Pennsylvania

2008 Nov

From quaternion algebras to conic sections
Mathematics Colloquium, Reed College

2008 Nov

Cohomological invariants of line bundlevalued quadratic forms
Number Theory Seminar, Mathematics Department, University of California San Diego

2008 Nov

Selfdual Galois representations
Center for Communications Research (CCR) West, La Jolla, CA

2008 May

Invariants «modulo 4» de formes quadratiques à valeurs dans des fibres
Graduate Student Number Theory Seminar, IMB Université Bordeaux I

2008 Mar

Theta divisors and fundamental groups of curves in characteristic p
Galois Seminar, University of Pennsylvania

2008 Feb

Simple Values of Sine and Cosine
Graduate Student Pizza Seminar, University of Pennsylvania

2007 Aug

Iwasawa theory over imaginary quadratic fields
Fields Institute Summer School in Iwasawa Theory, McMaster University

2007 Apr

Orthogonal Galois theoretic characteristic classes I/II (two talks)
Galois Seminar, University of Pennsylvania

2007 Feb

The cosite of modules over a noncommutative ring I/II (two talks)
Graduate Student NonCommutative Algebraic Geometry Seminar, University of Pennsylvania

2006 Nov

Abelian varieties: canonical maps and functorial characterizations
Graduate Student Arithmetic Geometry Seminar, University of Pennsylvania

2006 Oct

Can the automorphism group of an infinite field be so large?
Galois Seminar, University of Pennsylvania

2006 Sep

Abelian varieties over C
Graduate Student Arithmetic Geometry Seminar, University of Pennsylvania

2006 Feb

Fields of moduli of 3point covers with mild reduction,
Galois Seminar, University of Pennsylvania

2005 Oct

An introduction to model theory
Topics Course on Model Theory and Quadratic Forms, University of Pennsylvania

2005 Oct

A generating function of étale algebras over a local field
Graduate Student Pizza Seminar, University of Pennsylvania

2005 Jun

Zapponi's work on the Galois action on diameter four trees I/II (two talks)
Galois Seminar, University of Pennsylvania

2004 Oct

The probability that a padic polynomial splits
Graduate Student Pizza Seminar, University of Pennsylvania

2004 Jan

Expose de courbes elliptiques sur C
Course on Modular Forms and Modular Curves, ParisSud XI Orsay

2002 Dec

padic polynomials
Mathematics Colloquium, Reed College

2002 Oct

Distributions: how to think about the Dirac δfunction
Student Exposition Series, Reed College

2002 Feb

Classifying locally compact topological groups
Student Exposition Series, Reed College

