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PRODID:-//Mathematics Department//NONSGML mathical.php//EN
X-WR-CALNAME:Mathematics Department
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9dc2@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260326T120000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Katie Lynch: Structure and consequences of heme acquisition
 pathways in Vibrio vulnificus
DESCRIPTION:Vibrio vulnificus is a highly virulent marine bacteria
 which requires sufficient iron to grow\; during infection\, it
 primarily acquires iron from host hemoglobin. The gene regulatory
 networks (GRNs) involved in this process are important targets of
 study\, yet their complexity and nonlinearity complicate
 mathematical models. I will present a modeling approach that
 addresses this challenge by transitioning between more complex
 biologically accurate and simpler mathematically tractable models.
 This framework is applied to two GRNs for two key elements of iron
 acquisition via heme: a heme transporter (HupA) and hemolytic toxin
 (Vvh). This analysis reveals how regulatory feedback networks allow
 for dynamic responses to different environmental conditions. I will
 also consider the broader implications of these GRNs in the context
 of infection by linking these cellular level regulatory processes to
 population level outcomes. In particular\, the Vvh GRN helps
 determine the probability of colony establishment and proliferation
 in the early stages of infection. Overall\, this multiscale
 perspective highlights how mathematical methods can clarify the
 structure and consequences of complex gene regulatory systems in
 bacteria.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9e03@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260331T143000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Santiago Arango-Piñeros: Counting primitive integral
 solutions to generalized Fermat equations
DESCRIPTION:Let $F : A x^a + B y^b + C z^c = 0$ be a generalized
 Fermat equation\nwith nonzero integer coefficients. A solution $(x\,
 y\, z) \\in\n\\mathbb{Z}^3$ is called primitive if $gcd(x\, y\, z) =
 1$. We\nprove that when $\\chi = \\frac{1}{a} + \\frac{1}{b} +
 \\frac{1}{c} - 1 >\n0$\, the counting function $N(F\; h)$ of
 primitive integral solutions of\nheight at most $h$
 satisfies\n$$\nN(F\; h) \\sim \\kappa(F) \\cdot h^{\\chi}\,\n$$\nfor
 some constant $\\kappa(F) \\ge 0$\, as $h \\to \\infty$. This
 result\nrefines a theorem of Beukers\, and the proof relies on
 the\nstack-theoretic perspective introduced by
 Poonen--Schaefer--Stoll in\ntheir study of $x^2 + y^3 + z^7 = 0$.
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~zahlen/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9e27@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260407T131500
DTEND;TZID=America/New_York:20260407T141500
CATEGORIES:Combinatorics Seminar
SUMMARY:GaYee Park: Factorizations in Hecke Algebras
DESCRIPTION:Given a permutation\, there is a well-developed
 literature studying the number of ways one can factor it into a
 product of other permutations subject to certain conditions. We
 initiate the analogous theory for the type $A$ Iwahori--Hecke
 algebra by generalizing the notion of factorization in terms of the
 Jucys--Murphy elements. Some of the earliest and most foundational
 factorization results for the symmetric groups pertain to the long
 cycle. Our main results give $q$-deformations of these long cycle
 factorizations and reveal $q$-binomial\, $q$-Catalan\, and
 $q$-Narayana numbers along the way. This is a joint work with Jose
 Bastidas\, Sarah Bruaner\, Mathieu Guay-Paquet\, Alejandro Morales
 and Franco Saliola.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9e47@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260407T143000
DTEND;TZID=America/New_York:20260407T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Jakub Svoboda: Effects of Fitness Gradient
DESCRIPTION:In this talk\, we will explore evolutionary dynamics in
 populations that experience gradients of chemicals or nutrients that
 cause mutations to be beneficial in some spatial regions and harmful
 in others. We will determine the fixation probability of a single
 advantageous mutant that attempts to invade a homogeneous population
 of $N$ residents. One initial mutant is placed on a simple
 one-dimensional spatial structure that experiences a gradient that
 varies linearly from $1-s$ to $1+s$\, whereas the resident fitness
 is constant and equal to 1. The average change in fitness is
 neutral\, but for some slopes parametrized by $s$\, the mutant's
 fixation probability increases\, and for some slopes it decreases.
 This behavior is counterintuitive. In the talk\, I will give precise
 bounds for the fixation probability as a function of $s$. Moreover\,
 at the end of the talk\, I will briefly introduce other models and
 problems I am interested in.
LOCATION:TBA
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9e69@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260407T143000
DTEND;TZID=America/New_York:20260407T153000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Nathan Henry Morris: Isomonodromic Deformations of Flat
 Bundles and Codimension of Hodge Loci
DESCRIPTION:We give a lower bound on the codimension of a component
 of the non-abelian Hodge locus within a leaf of the isomonodromy
 foliation on the relative de Rham moduli space of flat vector
 bundles on an algebraic curve. The bound follows from a more general
 bound on the rank of a flat vector bundle for which the Hodge
 filtration persists through the isomonodromic deformation. We will
 show how this latter bound can be extended to apply to flat vector
 bundles that do not underlie a variation of Hodge structures\,
 generalizing a result of Landesman-Litt concerning the semistability
 of an isomonodromic deformation.
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9e83@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260409T110000
DTEND;TZID=America/New_York:20260409T120000
CATEGORIES:Functional Analysis Seminar
SUMMARY:Dana Williams: A Primer on Crossed Products I
DESCRIPTION:I am planning on giving at least a couple of lectures on
 crossed product C*-algebras. These are stolen from a five lecture
 course on crossed products I gave at CRM in Barcelona during 2017.
 The first lecture will be introductory concentrating on definitions
 and examples. The second will discuss induced representations via
 the Rieffel Machine as well as induced representations and Morita
 equivalence. After that\, we will see. 
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~funct-an/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9e9c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260409T133000
CATEGORIES:Topology Seminar
SUMMARY:Kristen Hendricks: Real Heegaard Floer homology and
 localization
DESCRIPTION:In the past few years there have been a host of
 remarkable topological results arising from considering "real"
 versions of various gauge and Floer-theoretic invariants of three-
 and four-dimensional manifolds equipped with involutions. Recently
 Guth and Manolescu defined a real version of Lagrangian Floer
 theory\, and applied it to Ozsváth and Szabó's three-manifold
 invariant Heegaard Floer homology\, producing an invariant called
 real Heegaard Floer homology associated to a 3-manifold together
 with an orientation-preserving involution whose fixed set is
 codimension two (for example a branched double cover). In this talk
 we use tools from equivariant Lagrangian Floer theory\, originally
 developed by Seidel-Smith and Large in a somewhat different
 context\, to produce a spectral sequence from the ordinary to real
 Heegaard Floer homologies in their simplest "hat" version\, in
 particular proving the existence of a rank inequality between the
 theories. Our results apply more generally to the real Lagrangian
 Floer homology of exact symplectic manifolds with antisymplectic
 involutions. Along the way we give a little history and context for
 the appearance of such spectral sequences in Heegaard Floer theory.
LOCATION:343 Kemeny
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9ec0@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260409T151500
CATEGORIES:Math Colloquium
SUMMARY:Ngoc Tran: Math in the Wild: From Data Competitions to
 Hidden Structure
DESCRIPTION:Can mathematics meaningfully engage with messy\,
 high-dimensional data\, or is that territory best left to
 statistics\, machine learning\, and engineering? \n\nIn this talk I
 will walk through a collection of problems I solved first-hand: an
 ML competition to forecast the future of AI with AI\, how to track
 neurons for months in vivo\, how mammals navigate\, how to map a
 hidden river from its floods\, and how to disprove conjectures from
 a Nobel laureate in economics. These problems are united by a
 combinatorial structure underneath\, and it was this insight that
 helped us find the solutions. In this sense\, “math in the wild”
 is not the absence of structure\, but its rediscovery in unfamiliar
 forms. \n
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9ee6@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260414T143000
DTEND;TZID=America/New_York:20260414T153000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Romain Branchereau: Generating series of modular symbols in
 SL$_n$
DESCRIPTION:In the 1980s\, Kudla and Millson initiated a program
 relating Fourier coefficients of modular forms and intersection
 numbers between totally geodesic cycles in orthogonal locally
 symmetric spaces. I will present a similar construction for cycles
 in the symmetric space of SL$_n$\, incorporating the work of
 Kudla–Millson as well as recent work of
 Bergeron–Charollois–Garcia. In the case where $n=2$\, I will
 explain how it relates to work of Li and of Borisov–Gunnells.\n
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9eff@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260416T110000
DTEND;TZID=America/New_York:20260416T120000
CATEGORIES:Functional Analysis Seminar
SUMMARY:Dana Williams: A Primer on Crossed Products II
DESCRIPTION:I am planning on giving at least a couple of lectures on
 crossed product C*-algebras. These are stolen from a five lecture
 course on crossed products I gave at CRM in Barcelona during 2017.
 The first lecture will be introductory concentrating on definitions
 and examples. The second will discuss induced representations via
 the Rieffel Machine as well as induced representations and Morita
 equivalence. After that\, we will see.
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~funct-an/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9f17@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260416T133000
CATEGORIES:Topology Seminar
SUMMARY:Sungkyung Kang: TBA
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9f29@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260421T131500
DTEND;TZID=America/New_York:20260421T141500
CATEGORIES:Combinatorics Seminar
SUMMARY:Neha Goregaokar: Interpreting the (signed) chromatic
 polynomial coefficients via hyperplane arrangements
DESCRIPTION:A recent result of Lofano and Paolini expresses the
 characteristic polynomial of a real hyperplane arrangement in terms
 of a projection statistic on the regions of the arrangement. We use
 this result to give an alternative proof for Greene and Zaslavsky's
 interpretation for the coefficients of the chromatic polynomial of a
 graph and further generalize this interpretation to signed graphs.
 We also show that this projection statistic has a nice combinatorial
 interpretation in the case of the braid arrangement\, which
 generalizes to graphical arrangements of natural unit interval
 graphs.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9f4c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260421T143000
DTEND;TZID=America/New_York:20260421T153000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:David Urbanik: Degrees of Hodge Loci and Atypical Points
DESCRIPTION:Given a family of algebraic varieties over a parameter
 space S\, one wants to understand the locus in S where those
 varieties acquire extra algebro-geometric structure. If the family
 is smooth projective\, one can study this problem by studying the
 Hodge locus of an associated variation of Hodge structure\, which is
 a countable union of closed algebraic subvarieties of S. We give
 upper bounds for the degree of such loci in S in terms of the
 complexity of the Hodge vectors that define them\, and using this\,
 show there are very few "atypical" isolated Hodge locus points in a
 precise sense.
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9f65@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260428T130000
CATEGORIES:Thesis Defence
SUMMARY:Jonathan Lindbloom: Thesis Defense
LOCATION:Carpenter 013 Herb West Lecture Hall
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9f77@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260428T143000
DTEND;TZID=America/New_York:20260428T153000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Yuta Nakayama: TBA
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9f89@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260430T180000
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Curt McMullen: TBA
LOCATION:TBA
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9f9a@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260505T131500
DTEND;TZID=America/New_York:20260505T141500
CATEGORIES:Combinatorics Seminar
SUMMARY:Tom Roby: TBA
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9fac@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260505T143000
DTEND;TZID=America/New_York:20260505T153000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Jerry Fu Yu: TBA
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9fbd@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260507T150000
DTEND;TZID=America/New_York:20260507T160000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Uriya First: TBA
DESCRIPTION:TBA
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9fd1@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260507T151500
CATEGORIES:Math Colloquium
SUMMARY:Carina Curto: Network dominoes: composable building blocks
 for recurrent networks
DESCRIPTION:Ever since the Hopfield model\, recurrent networks have
 provided a conceptual cornerstone for our understanding of how the
 brain stores memories and processes information. The nonlinear
 dynamics\, however\, are notoriously difficult to understand. Here
 we take a bottom-up approach\, where small network building blocks
 can be composed to yield complex attractors with predictable
 dynamics. This approach yields insights into how inhibition and
 modularity can be used to shape and tame neural activity in real
 brains. We will see some beautiful attractors along the way!
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9fea@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260512T131500
DTEND;TZID=America/New_York:20260512T141500
CATEGORIES:Combinatorics Seminar
SUMMARY:Robert Dougherty-Bliss: TBA
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9e9ffc@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260514T151500
DTEND;TZID=America/New_York:20260514T161500
CATEGORIES:Math Colloquium
SUMMARY:Erik Bates: TBA
LOCATION:TBA
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9ea010@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260519T131500
DTEND;TZID=America/New_York:20260519T141500
CATEGORIES:Combinatorics Seminar
SUMMARY:Ben Adenbaum: TBA
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9ea021@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260519T143000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Nourridine Siewe: TBA
LOCATION:TBA
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9ea033@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260521T151500
DTEND;TZID=America/New_York:20260521T161500
CATEGORIES:Math Colloquium
SUMMARY:Mark Sellke: TBA
DESCRIPTION:TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260417T190201Z
UID:20260417T19020169e283a9ea046@math.dartmouth.edu
DTSTART;TZID=America/New_York:20260526T131500
DTEND;TZID=America/New_York:20260526T141500
CATEGORIES:Combinatorics Seminar
SUMMARY:Phil Hanlon: TBA
LOCATION:Kemeny 307
END:VEVENT
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