Vladimir Chernov (Tchernov)
Curriculum Vitae
Department of Mathematics
6188 Kemeny Hall

Tel: +1(603) 646 24 21
Fax: +1(603) 646 13 12
Email: Vladimir.Chernov@dartmouth.edu

Dartmouth College

Hanover, NH 037553551, USA

Previous spelling of the last
name: Tchernov
Birth date: January 9, 1972
Citizenship: Russian citizen, US permanent resident
· Contact and Symplectic Topology, specifically: Legendrian and transverse knots
(57R17) and their relations to wave front propagation (78A05); Bennequintype
inequalities; Legendrian and Lagrangian immersions and embeddings.
· Geometric and LowDimensional Topology, specifically: knots and links in manifolds (57M27);
Vassiliev invariants of knots; invariants of immersed curves and surfaces;
higher dimensional link theory (57Q45); generalized linking numbers.
· Algebraic Topology and Global Analysis, specifically: spaces of imbeddings and immersions
(58D10) and their homotopy groups; manifolds of mappings (58D15).
· Interactions between link theory, Lorentz
manifolds (53C50), contact and symplectic topology, and mathematical physics. Specifically: relations between causality and linking
in strongly causal and globally hyperbolic spacetimes (83C75);
nonrefocussing spacetimes; Legendrian and Lagrangian submanifolds in manifolds
of geodesics for semiRiemannian manifolds.
(Because my scientific advisor held positions at both Universities,
I had to enroll into Graduate Programs at both places and to defend Ph.D.s at
both places. The theses for the two Ph.D.s are based on different material.)
·
Licentiate in
Mathematics. Uppsala University, 1996
·
Diploma in Mathematics. St. Petersburg State University,
Russia, 1996
·
M.Sci. in Mathematics. University of California at Riverside
(UCR), 1994
 Dartmouth College,
Mathematics Department. Summer 2007  Now Associate Professor, Summer 2001
– Summer 2007 Assistant Professor.
 Zurich University,
Mathematics Department. Fall 2000  Summer 2001. Postdoc
 MaxPlanckInstitut fur Mathematik, Bonn. Fall
1999  Summer 2000. Scientific Visitor for one year.
 ETH Zurich. Fall 1998 
Summer 1999. Postdoc.
· Math 8 Calculus
of one and several variables Spring 2002;
· Math 9
Multivariable Calculus (Honors) Fall 2001, Fall 2002, Fall 2003;
· Math 11 Calculus
for FirstYear Students with two terms of AP credit, Fall 2004;
· Math 12 Calculus
Plus, Fall 2007; Fall 2009; Fall 2012
· Math 13 Calculus
of Vector Valued Functions Winter 2004; Winter 2008; Fall 2011;
· Math 14
Calculus of Vector Valued Functions Winter 2002, Winter 2003, Winter 2011;
· Math 23
Differential Equations Spring 2002, Winter 2006; Spring 2009; Fall 2010; Fall
2011; Fall 2012;
· Math 31 Topics
in Algebra Winter 2004;
· Math 35 Real
Analysis Winter 2007;
· Math 43
Functions of a Complex Variable Spring 2007;
· Math 46
Introduction to Applied Mathematics Spring 2010;
· Math 63 Real
Analysis Winter 2009;
· Math 73
MultiVariable Analysis Winter 2003;
· Math 103, Topics
in Analysis Fall 2004, Fall 2005; Fall 2007; Fall 2009;
· Math 104 Topics in
Topology Winter 2009;
· Math 124 Current
Problems in Topology Fall 2002; Fall 2003; Fall 2005; Fall 2010; Winter 2012.
1. Allison
Henrich Ph.D. 2008, Title of the Ph.D. Thesis “A sequence of degree one
Vassiliev invariants for virtual knots” Currently a tenure track Assistant
Professor at Seattle University
2. Paul
Kinlaw Ph.D. 2010, Title of the Ph.D. Thesis: “Refocusing of null geodesics in
Lorentz manifolds” Currently an Assistant Professor at Husson University
3. Patricia
Cahn, Ph. D. (2012) Ph. D. Thesis TItle: \Algebras counting selfintersections
of curves." Currently a Lecture of Mathematics at the University of
Pennsylvania.
1.
Asa Levi
1. P. Cahn, V. Chernov: “Intersections
of Loops and the AndersenMattesReshetikhin Algebra”, preprint
arXiv:1105.4638 at www.arxiv.org,to
appear in the Journal of the London Mathematical Society 19 pages (2011)
2.
V. Chernov and S. Nemirovski: "Nonnegative
Legendrian isotopy in ST*M", published in Geometry and Topology 14, no.
1 (2010) 611626
3.
V. Chernov and S. Nemirovski: “Legendrian links
causality and the Low conjecture” published in GAFA
(Geometric and Functional Analysis) 19, no. 5, (2010) 13201333
4.
V. Chernov, P. Kinlaw and R. Sadykov: “Topological
properties of manifolds admitting a Y^{x}Riemannian metric” published
in J. Geom.
Phys. 60, no. 10 (2010) 15301538
5.
V. Chernov (Tchernov) and Yu. Rudyak: “On
generalized Winding Numbers” published in Algebra i Analysis 20 no. 5,
(2008), 217 – 233
6.
E. Byberi and V. Chernov
(Tchernov): “Virtual
Bridge Number One Knots” published in Communications in Contemporary
Mathematics, 10 (2008), suppl. 1,
10131021
7.
V. Chernov (Tchernov) and Yu. Rudyak: "Linking
and Causality in Globally Hyperbolic Spacetimes" published in Communications in
Mathematical Physics, 279, no 2, (2008) pages 309354
8.
V. Chernov (Tchernov): "Mapped Null Hypersurfaces
and Legendrian Maps", published in
Journal
of Geometry and Physics 57, no 10,
(2007) pages 21142123
9.
V. Chernov (Tchernov),Yu.
Rudyak: “Toward
a General Theory of Linking Invariants”,
published in Geometry
and Topology Vol. 9
(2005) Paper no. 42, pages 18811913
10.
V Chernov (Tchernov): “Framed Knots in 3manifolds and
affine selflinking numbers” published
at J.
Knot Theory Ramifications 14 (2005) no. 6, pages791819
11. V
Chernov (Tchernov): “Relative Framing of Transverse
knots”, published in Int. Math. Res. Not. Issue 52 (2004) 27732797
12. V
Chernov (Tchernov): “The universal order
one invariant of framed knots in most S^{1}bundles over orientable
surfaces”, Algebraic and
Geometric Topology Vol. 3 (2003) pp. 89101
13. V. Tchernov (Chernov): “Isomorphism
of the groups of Vassiliev Invariants of Legendrian and of pseudo Legendrian
knots” Compositio
Math. 135
(2003), no. 1, 103122.
14. V. Tchernov (Chernov): “Vassiliev invariants of
Legendrian, transverse, and framed knots in contact threemanifolds”. Topology 42 (2003),
no. 1,
133.
15. A.
Stoimenow, V. Tchernov (Chernov), A. Vdovina: “The canonical
genus of a classical and virtual knot”, MPI
preprint 108 (2000) Geom.
Dedicata 95 (2002), 215225.
16. V. Tchernov (Chernov): “Arnoldtype invariants
of wave fronts on surfaces”
Topology 41 (2002), no. 1, 145
17. V. Tchernov (Chernov): “Homotopy groups of the space of
curves on a surface”. Math. Scand. 86 (2000), no. 1,
3644.
18. V. Tchernov (Chernov): “Arnoldtype Invariants of Curves on Surfaces”, J.
Knot Theory Ramifications 8 (1999), no. 1,
7197.
19. V. Tchernov (Chernov): “Shadows of wave
fronts and ArnoldBennequin type invariants of fronts on surfaces and
orbifolds.” Differential and symplectic topology of knots and
curves, 153184, Amer. Math.
Soc.
Transl. Ser. 2, 190, Amer.
Math. Soc., Providence, RI, (1999). There is no electronic version of this publication.
The corresponding arXiv preprint is math.GT/9906121.
20. V. Tchernov (Chernov): “The most
refined Vassiliev invariant of degree one of knots and links in R^{1}fibrations
over a surface.” J. Knot Theory Ramifications 7 (1998), no. 2, pages 257266.
1.
A talk “Smooth Cosmic Censorship and
determining causality from linking” on August 20 at the “Fourth Geometry
Meeting dedicated to the centenary of A.D.Alexandrov” held at the Euler
International Mathematical Institute held August 2025, 2012
2.
A talk “Cosmic censorship of smooth
structures and integer valued metrics on spacetimes” on August 8, 2012 at the
“Geometric Topology” Seminar of the Steklov Mathematical Institute, Moscow
Russia
3.
A talk “Legendrian linking and causal
structure in a spacetime” on March 24 at the “46th Annual Spring Topology
and Dynamics Conference” held at Universidad Nacional Autonoma de Mexico (UNAM)
Mexico City, Mexico, March 2224, 2012
4.
A Colloquium talk “Smooth Cosmic
Censorship and determining causality from linking” on March 21, 2012 at the
Depto. de Matemáticas, CINVESTAV, Mexico City, Mexico
5.
A talk “Computing causal relation
between events from the set of points where the events are visible at a given
time moment” on March 17 at the “Special Session on Mathematics Applied in the
Sciences: From Statistics to Topology” session of the 2012 Spring Eastern
Sectional Meeting #1080 held at the George Washington University, Washington,
DC March 1718, 2012
6.
A talk “Smooth Cosmic Censorship” on
March 15 at the XXXIV Knots in Washington Conference held at George Washington
University, Washington DC, March 1416, 2012
7.
An invited one hour talk “Low
conjecture, linking and causality in global hyperbolic Lorentz spacetimes'” on
June 16 at the The 87th Encounter between Mathematicians and Theoretical
Physicists “Lorentz geometry in Mathematics and in Physics” dedicated to
Norbert A Campo for his 70th birthday, June 1618, 2011
8.
A
talk “Causality in spacetimes and Legendrian linking” on March 17, 2011 at the
Thursday Seminar on Topology, at SUNY Stony Brook
9.
A
talk ``Causality, Low Conjecture and globally hyperbolic spacetimes" on
February 15, 2011 at the Topology Seminar, Brandeis University
 A talk “Causality, Low
conjecture and the partial order on the space of Legendrian spheres” on
November 19, 2010 at the AnalysisGeometry Seminar, Northeastern
University
 A talk “Causality, Low
conjecture and the partial order on the space of Legendrian spheres” on
September 24, 2010 at the Gauge Theory and Topology Seminar, Harvard
University
 A talk “Algebras detecting
minimal intersection and self intersection numbers of curves on a surface”
on September 15, 2010 at the Geometry Luncheon Seminar, Penn State
University, State College, PA
 A talk “Legendrian linking,
refocussing and causality in spacetimes” on September 15, 2010 at the
Center for Dynamics and Geometry Seminar, Penn State University, State
College, PA
 A talk “Causality in
spacetimes, Low conjecture and the partial order on Legendrian spheres”
on August 18, 2010 at the International Conference “Geometry, Topology,
Algebra and Number Theory, Applications” dedicated to the 120th
anniversary of Boris Delone, Steklov Mathematical Institute, Moscow,
Russia
 A talk “Refocussing and Y^{x}
manifolds” on June 18, 2010 at the Moscow  St Petersburg
seminar of
Lowdimensional Mathematics, POMI, St Petersburg, Russia
 A talk “Topological
Properties of Manifolds admitting a Y^{x}Riemannian metric” on January 26,
2010 at the Analysis seminar of the Department of Mathematics, University
of Western Ontario, London, Canada
 A Colloquium talk “Legendrian
links, causality, and the Low conjecture” on January 28, 2010 at the Department of
Mathematics, University of Western Ontario, London, Canada
 An invited talk
“Legendrian links, causality, and the Low conjecture” on October 30, at
the special session on Geometry and Topology of the 2009 Fall Southeastern
AMS Sectional #1053 Meeting held in Boca Raton, Florida on October
30November 1, 2009
 A talk
“Legendrian links, causality, and the Low conjecture” at the seminar
"Mnogoobraziya i ih otobrazheniya" (“Manifolds and their
mappings”) at the Mechanics and Mathematics Department of the Moscow State
University, Moscow, Russia on September 11, 2009
 A talk
“Legendrian links, causality, and the Low conjecture” at the D. Sokolov
seminar "Cosmic electrodynamics and dynamo theory" at the
“Research Computing Center” of the Moscow State University, Moscow, Russia
on September 10, 2009
 A talk
“Legendrian links, causality, and the Low conjecture” at the symplectic
geometry seminar of the Department of Mathematics, Columbia University, on
April 24, 2009
 A talk “Linking,
Causality and Refocusing” at the “Rokhlin Topology Seminar” at the St.
Petersburg Department of the Steklov Institute of Mathematics, St
Petersburg, Russia, on September 8, 2008
 A talk “Linking,
Causality and Refocusing” at E. A. Kudryavtseva and S. A. Bogatyi seminar
"Mnogoobraziya i ih otobrazheniya" (“Manifolds and their
mappings”) at the Mechanics and Mathematics Department of the Moscow State
University, Moscow, Russia on September 4, 2008
 A talk “Selflinking
invariant for nonzerohomologous framed knots in 3manifolds” at the Shepin
Topology seminar at the Steklov Mathematical Institute of the Russian
Academy of Sciences, Moscow, Russia on September 3, 2008
 A talk “Vassiliev
invariant estimates for unknotting numbers of virtual knots.” at the V.
Manturov “Knots and Representation Theory” at the Mechanics and
Mathematics Department of the Moscow State University, Moscow, Russia on
September 2, 2008
 A talk “Linking of skies
and causality in globally hyperbolic spacetimes” on July 3, 2008 at the
“Differential Geometry and General Relativity” section of the Fifth World
Congress of Nonlinear Analysts held July 29 in Orlando, Florida
 A talk “Linking of
skies and causality in globally hyperbolic spacetimes” at the
Topology Seminar of the University of Tennessee, Knoxville on April 4,
2008
 An invited talk
“Causality and linking in spacetimes” on February 24 at the Texas
Geometry and Topology Conference, held February 2224, 2008 at the Texas
Tech University, Lubbock, Texas
 A talk “Causality,
linking and refocussing spacetimes” on September 14 at the “Algebra and
Geometry Around Knots and Braids” conference, held September 1014, 2007
in the Euler Institute, St Petersburg, Russia
 A talk “Linking and
causality in globally hyperbolic spacetimes'' on August 21 at the
``Analysis and singularities'' conference, held August 2024, 2007 in the
Steklov Mathematical Institute,
 A talk “Garlands,
graded Poisson algebras, and applications.” at the “Topology and Dynamical
Systems Seminar”, University of Florida, Gainesville, March 20, 2007
 A talk “Some
applications of the Graded Poisson algebras on bordism groups of garlands”
at the Topology Seminar, Mathematics Department, Ohio State University,
October 31, 2006
 An invited talk
“Poisson and other algebras on bordism groups of garlands.” on October 29
(2006) at the “Special Session on Homotopy Theory of Compactified Moduli
Spaces” at the AMS 2006 Fall Eastern Section #1021 Meeting Storrs, CT,
held October 2829, 2006
 A talk "Graded
Poisson algebras, bordism groups, affine linking numbers and
applications." at the Gauge Theory and Topology Seminar, Department
of Mathematics, Harvard University, October 20, 2006
 A talk "Graded
Poisson algebras on bordism groups of garlands and minimizing intersection
of loops on a surface." at the Topology Seminar, Mathematics
Department, Brandeis University, October 17, 2006
 An invited talk
"Graded Poisson algebras on bordism groups of odddimensional
garlands and minimizing the intersection of loops on a surface." on
October 8 (2006) at the "Special Session on Floer Methods in
Lowdimensional Topology" of the AMS 2006 Fall Western Section
Meeting #1019, Salt Lake City, UT, held October 78, 2006
 A talk "Graded
Poisson algebras on bordism groups of garlands."at the “Rokhlin
Topology Seminar”, at the St. Petersburg Department of the Steklov
Institute of Mathematics, St Petersburg, Russia, September 11, 2006
 A talk
"Applications of the Ω_{*}algebra of the space of
garlands." on June 9 2006 at the Lehigh University Geometry and
Topology Conference, held June 810, 2006
 A talk
"Generalized strings algebra." at the Geometry and Topology
seminar, Department of Mathematics and Statistics, University of Calgary,
Canada, May 10, 2006
 Colloquium talk
"Affine linking numbers and their applications to the study of wave
front propagation." Department of Mathematics and Statistics,
University of Calgary, Canada, May 5, 2006
 A talk "Relative
framing of transverse knots." at the Symplectic Topology Seminar,
Department of Mathematics and Statistics, University of Calgary, Canada,
May 1, 2006
 A talk "New algebraic
structures on the generalized string algebra." on December 4 2005 at the “Algebraic Topology” section
of the Union College Mathematics Conference, Union College, Schenectady
NY, held December 34, 2005
 A talk "Framed
knots in 3manifolds and affine selflinking numbers." at the
“Rokhlin Topology Seminar”, Steklov Institute of Mathematics at St Petersburg,
Russia, September 12, 2005
 A
talk "Relative framings of transverse knots." at the
“MoscowPetersburg Seminar on LowDimensional Mathematics”, Steklov
Institute of Mathematics at St Petersburg, Russia, September 9, 2005
 A
talk "Generalizations of ChasSullivan string homology and
applications to link and coincidence theories." on July 26 2005 at
the 5 International Siegen Topology Symposium “Manifolds and Their
mappings” held at Siegen University, Germany, on July 2529, 2005
 A talk "Relative framing of
transverse knots and Vassiliev invariants of transverse and
pseudoLegendrian knots." on June 5 2005 at the AMSIMSSIAM Summer
Research Conference "Quantum TopologyContemporary Issues and
Perspectives" held at Snowbird Utah, June 59, 2005
 A
talk "Relative framing of transverse knots." on November 7 2004
at the “Special Session on Invariants of knots and 3manifolds” of the
2004 Fall Eastern Section Meeting of the AMS #1042, Pittsburgh, PA,
November 67, 2004
 A
talk "Algebraic structures on generalized string and
applications." at the Differential Geometry and Topology Seminar of
the Universite du Quebec a Montreal, Montreal, Canada, September 17, 2004
 A
talk "Relative framings of transverse knots." on August 26 2004
at the “L.V. Keldysh Centennial Conference in Geometric Topology, Discrete
Geometry and Set Theory” held August 2428 at the Steklov
Mathematics Institute of the Russian Academy of Science and at the Moscow
State University, Moscow, Russia
 A
talk “Affine linking numbers, their applications, and operations on
generalized strings.” at the Geometry and Topology seminar, Department of
Mathematics, University of Pennsylvania, April 8, 2004
 An
invited talk “Algebraic
structures on generalized strings.” on April 18 2004 at the Special “Homotopical Physics” Section of
the Spring Eastern AMS Section Meeting #997, Lawrenceville NJ, held on
April 1718, 2004
 A
talk "Affine linking numbers and generalized string homology.” on
December 5 2003 at the “Borders in
3dimensional topology” conference held at the Ohio State University,
Columbus, December 57, 2003
 A
talk "Vassiliev invariants of Legendrian, pseudoLegendrian,
transverse, and framed knots in contact 3manifolds." at the Geometry
and Topology seminar, Mathematics Department, SUNY Buffalo, November 14,
2003
 A
talk ``Affine linking numbers, their
applications and algebraic structures on generalized strings.” on November
8 2003 at the “Algebraic Topology” Section of the Union College Mathematics
Conference, Union College, Schenectady, NY, held on November 89, 2003
 A
talk “Affine linking and winding numbers and the study of front
propagation.” on October 25 2003 at the “Homological Physics” Section of
the Fall AMS Southeastern Section Meeting #991, at the University of North
Carolina, Chapel Hill, NC, October 2425, 2003
 A
talk “Vassiliev invariant of
Legendrian, pseudoLegendrian and framed knots in contact 3manifolds.”
at the “Gauge Theory and Topology Seminar”,
Department of Mathematics, Harvard University, October 10, 2003
 A talk “Vassiliev
invariants of Legendrian, pseudoLegendrian, transverse and framed knots
in contact 3manifolds.” at the
Geometric Topology Seminar, Department of Mathematics, Columbia
University, September 19, 2003
 A talk “Affine linking and winding
numbers and their applications to the study of causality and of front
propagations.” at the “Arnold’s Seminar on Singularity
Theory”, Mathematics Department of Moscow State University, Moscow,
Russia, September 9, 2003
 A talk "Affine
linking numbers and their application to the study of front
propagations." at the “MoscowPetersburg Seminar on LowDimensional
Mathematics”, Steklov Institute of Mathematics at St Petersburg, Russia,
September 5, 2003
 A talk “Algebraic
structures on generalized strings and the general theory of affine linking
numbers." at the “Rokhlin Topology Seminar”, Steklov Institute of
Mathematics at St Petersburg, Russia, September 1, 2003
 A talk “Affine
linking and winding numbers and the study of front propagation.” on July
18 2003 at
the “XII Oporto meeting in Geometry Topology and
Physics”, Universidade do Porto, Portugal, held July 1720, 2003
 A
talk “Affine linking and winding numbers and the study of front
propagation.” at the Mathematical
Physics Seminar, Departamento de Matemática Instituto
Superior Técnico Lisboa, Portugal, July 17, 2003
 A talk “Affine linking
and winding numbers and the study of front propagation.” on July 12 2003
at the “Topological Dynamics and Ergodic Theory” session of the “2003
Summer Conference on Topology and its Applications”, Howard University,
held on July 912 2003
 A
talk “Affine linking and winding numbers and the study of front
propagation.” on June 13 2003 at
the Lehigh University Geometry and Topology Conference, held on June
1214, 2003
 A talk "Vassiliev invariants of Legendrian, PseudoLegendrian
and framed knots in contact 3manifolds." on June 6 2003 at the
“NSFNSA Conference on Interactions between Representation Theories, Knot
Theory, Topology, Quantum Field Theory, Category Theory and Mathematical
Physics”, held at SUNY Potsdam on June 2June 6, 2003
 A talk "Affine
linking numbers and their applications to the study of wave front
propagation and causality." on June 4
2003 at the “NSFNSA conference on Interactions between Representation Theories,
Knot Theory, Topology, Quantum Field Theory, Category Theory and
Mathematical Physics”, held at SUNY Potsdam, NY, on June 26, 2003
 Colloquium talk
"Affine Linking Numbers and the Causality Relation for Wave
Fronts." at the Department of Mathematics, Boise State University ,
Boise, ID, May 13, 2003
 A talk
"VassilievGoussarov invariants of Legendrian pseudoLegendrian and
framed knots." at the
Topology Seminar, Department of Mathematics, Boise State University, May
12, 2003
 A talk "Affine linking
numbers and causality relations for wave fronts." at the Topology
Seminar, Mathematics Department, Yale University, March 27, 2003
 A talk “Vassiliev
invariants of Legendrian, PseudoLegendrian and framed knots in contact
3manifolds.” at the Topology Seminar, Mathematics Department, Brandeis
University, February 12, 2003
 A talk “The universal order one invariant of
framed knots in the total spaces of S^{1} bundles over orientable
surfaces F≠ S^{2}, S^{1} × S^{1}.” on
November 10 at the special session on “Invariants of knots and
lowdimensional manifolds” of the AMS Southeastrn Section meeting # 982 at
Orlando Florida, held on November 910, 2002
 An invited talk
“Affine linking Numbers and Causality relations for wave fronts.” on
November 10 2002 at the special session on “Homotopy Theory and Geometric
Topology” at the AMS Southeastrn Section meeting meeting #982 at Orlando
Florida, held on November 910, 2002
 A talk "Universal
order one Vassiliev invariants of framed knots in the total spaces of S^{1}bundles
over surfaces." at the
“Rokhlin Topology Seminar”, Steklov Institute of Mathematics at St. Petersburg,
Russia, September 9, 2002
 A talk "The
causality relation and affine linking numbers." at the “Rokhlin
Topology Seminar”, Steklov Institute of Mathematics at St. Petersburg,
Russia, July 8, 2002
 A talk “Framed knots in 3manifolds and the natural
framings of transverse knots.” on March 8 2002 at the “Workshop
in Geometric Topology and Geometric Group Theory”, University of Florida,
Gainesville held on March 310, 2002
 A talk “Vassiliev invariants of Framed,
PseudoLegendrian and Legendrian knots in contact 3manifolds.”, on March 4
2002 at the “Workshop in Geometric Topology and Geometric Group Theory”,
University of Florida, Gainesville, held on March 310, 2002
 A talk “Vassiliev invariants of
Framed, PseudoLegendrian and Legendrian knots in contact 3manifolds.” at
the GeometryTopology Seminar, Department of Mathematical Sciences,
Binghamton University, Binghampton, NY, February 14 2002
 A talk
"Legendrian and PseudoLegendrian knots and Vassiliev invariants for
them."
at
the Rokhlin Topology Seminar, St Petersburg Department of Steklov
Institute of Mathematics, St Petersburg, Russia, December 17 2001
 Two
talks “Finite order invariants of Legendrian, Transverse and framed knots
in contact 3manifolds, parts I and II.” at the “Rokhlin Topology
Seminar”, Steklov Institute of Mathematics at St. Petersburg, Russia,
September 3 and 10, 2001
 A talk at the
Mathematical Physics seminar at the ETH Zurich, Switzerland 2001
 Invited speaker at the
Contact Geometry Workshop at Stanford University, December 1317 2000
 Talk at the
Oberseminar in Complex Geometry, University of Zurich, Zurich,
Switzerland, 2000
 Talk at the Topology
Seminar at the MaxPlanckInstitut fur Mathematik, Bonn,
Germany, 2000
 Colloquium Talk, at the
Mathematics Department, University of Siegen, Siegen, Germany, 2000
 Talk at the Geometry
Seminar at the Institute of Mathematics of the University of Basel,
Switzerland, 2000
 Talk at the Geometry
seminar at the RuhrUniversitat, Bochum, Germany, 2000
 Talk at the Geometry
seminar at the AlbretLudwigsUniversitat, Freiburg, Germany, 2000
 Talk at the Geometry
Seminar at the Bonn University, Bonn, Germany, 2000
 Talk at the Geometry
and Topology Seminar, University Paul Sabatier, Toulouse, France,2000
 Talk at the Topology
seminar, Strasbourg University, Strasbourg, France, 2000
 Talk at the
Oberseminar, at the MaxPlanckInstitut fur Mathematik, Bonn,
Germany, 1999
 Invited speaker at the
"Geometric and symplectic topology" program, Pisa University,
Pisa, Italy, 1999
 Talk at the ``Sur les
singularites'' seminar at the l'Ecole Normale Superieure in Paris, France,
1999
 Speaker at the “VIII
OPORTO Meeting in Geometry Topology and Physics”, Porto, Portugal, 1999
 Two talks at the
Symplectic Geometry Seminar at the ETH Zurich, Switzerland, 19981999
 Talk at the Geometry
Seminar at the Institute of Mathematics of the University of Basel,
Switzerland, 1999
 Talk at the V.I.
Arnold's seminar on Singularity Theory, Moscow State University, Russia,1999
 Talk at the
Colloquium at the Deptartment of Mathematics at the University of
California Riverside, CA, 1997
 Talk at the AMS meeting #920
at the University of Maryland, College Park, MD, 1997
 Principal speaker at the MSRI
workshop ``Combinatorial Problems Arising in Knots and 3manifolds'',
Berkeley, CA, 1997
1. “Smooth Cosmic
Censorship” at the Geometry and Topology seminar, Mathematics Department,
Dartmouth College,
April 3, 2012
2.
“Conformal maps from spacetimes to the space of Legendrian submanifolds and
causality on causally simple spacetimes” at the Geometry and Topology
seminar, Mathematics Department, Dartmouth College, October 11, 2011
3.
“Causal
structure on the space of Legendrian spheres isotopic to a sky and some open
questions” at the Geometry and Topology seminar, Mathematics Department,
Dartmouth College, October 5, 2010
4.
“Legendrian
links, causality, and the Low conjecture” at the Geometry and Topology seminar,
Mathematics Department, Dartmouth College, April 10, 2009
5.
A
sequence of four talks ``Algebra on Bordism groups of garlands" at
the Geometry and Topology seminar, Department of Mathematics, Dartmouth
College, on April 25, May 3, May 17, May 24, 2007.
6.
Two
talks “Affine linking number and causality in globally hyperbolic Lorentz
manifolds and a roundtrip journey from singular null surfaces to Legendrian
mappings, part I.” and “A roundtrip journey from singular null surfaces to
Legendrian mappings, part II.” at the Geometry and Topology seminar,
Department of Mathematics, Dartmouth College, April 20 and May 18, 2006
7.
Two
talks “Applications of Vassiliev invariants to distinguishing pseudoLegendrian
knots, parts I and II.” at the Geometry and Topology seminar, Department of
Mathematics, Dartmouth College, May 26 and June 2, 2005
8.
A
talk “Generalizations of the complex analysis Cauchy integral formula and
related algebraic structures on generalized string homology.” at the Geometry
and Topology seminar, Department of Mathematics, Dartmouth College, March 9,
2004
9. A talk “Affine
linking numbers and their applications to the causality relation.” at the
Geometry and Topology seminar, Department of Mathematics, Dartmouth College,
November 21, 2003
10. A talk
“Universal order one Vassiliev invariants of framed knots in the total spaces
of S1bundles over surfaces.” at the Geometry and Topology seminar, Department
of Mathematics, Dartmouth College, November 14, 2003
11. Two talks
“Affine winding numbers and their applications to wave propagations, part I”
and “Towards the general theory of affine linking numbers part II: Relations
with winding numbers and front propagation.” at the Geometry and Topology
seminar, Department of Mathematics, Dartmouth College, On February 20 and March
13, 2003
12. Two talks
“Affine linking number and the Causality Relation invariant, parts
I and II.” at the Geometry and Topology
seminar, Department of Mathematics, Dartmouth College on May 14 and 21,
2002
13. Two talks
“Framed knots in 3manifolds and some new invariants of transverse knots, parts
I and II.” at the Geometry and Topology Seminar, Department of Mathematics,
Dartmouth College, October 4 and 11, 2001
Talks at Undergraduate Conferences
1.
A talk “Smooth Structures on
Spacetimes” at the XIX Hudson River Undergraduate Mathematics Conference, held
at the
Western New England University in
Springfield, MA April $21$, $2012$
2.
A talk “Smooth structures on a spacetime.” at the XVIII Hudson River
Undergraduate Mathematics Conference, held at the
Union
College, Schenectady NY, April 16, 2011
3.
A talk “Causality and Linking.”at the XVI Hudson River
Undergraduate Mathematics Conference, held at the Union College, Schenectady
NY, April 18, 2009
4.
A talk “Knot Theory and the Study of Wave Front Propagation.”at
the XIII Hudson River Undergraduate Mathematics Conference, Westfield, MA,
April 8, 2006
Undergraduate Research Supervised
1.
Greg Elliot '12, Senior Thesis, WinterSpring 2012
2. Yong Su '09, Dartmouth Presidential Scholar
student in Fall 2007, Winter 2008.
3.
Evarist Byberi '08,
Dartmouth Presidential Scholar student in Fall 2006 and Spring 2007. In 2008 he
wrote a senior thesis under my supervision. In Fall 2007 we wrote a joint paper
that was published in Commun. Contemp. Math. in 2008.
1.
Reviewer
for the American Mathematical publication database Mathematical Reviews
2.
Reviewer
for the European Mathematical publication database ZentralblattMember
3.
Member of the
``Mathematics in Moscow Committee'' of the American Mathematical Society, Fall
2007 Spring 2010, Chair of the Committee Fall 2008 Spring 2010 and Fall
2011Spring 2012