The Department of Mathematics is pleased to host a variety of events throughout the year. For additional information about our seminars, lectures, colloquia, and related activities, please call (716) 645-6284 or contact us via general inquiry email: mathematics@buffalo.edu

Thank you for your interest in our events.

**UB MATHEMATICS SEMINARS**

*The list of events for Fall 2022 is forthcoming*

The next edition of the Myhill Lecture Series will be delivered by Gigliola Staffilani, Abby Rockefeller Mauze Professor, Department of Mathematics, Massachusetts Institute of Technology. The precise dates will be announced at a later time.

Applied Math Seminar**Applied Math Seminar: Alexander Korotkevich (UNM)**

Numerical Verification of the 6-Wave 1D Kinetic Equation.Speaker: Alexander Korotkevich (University of New Mexico, Department of Math&Stat)

4:00PM, Zoom

Special Event**Makoto Ozawa (Komazawa University) via Zoom only Friday**

4:00PM

Applied Math Seminar**Applied Math Seminar**

Denis Silantyev (UCCS)

Generalized Constantin-Lax-Majda Equation: Collapse vs. Blow Up and Global ExistenceSpeaker: Denis Silantyev (UC Colorado Springs, Department of Mathematics)

4:00PM, Zoom

Applied Math Seminar**Dr. Kai Yang, Florida International University**

Numerical methods for the KdV-type equations

4:00PM, Zoom: for link see email announcement or contact sergeyd at buffalo dot edu

Colloquium**Cary Malkiewich, Binghamton University**

Brave new fixed-point theory

4:00PM, Zoom: for link see email announcement or contact badzioch at buffalo dot edu

Algebra Seminar**Benjamin Passe, United States Naval Academy**

Boundary representations and isolated points

4:00PM, Zoom. Contact achirvas AT buffalo DOT edu for link.

Applied Math Seminar**Pavel Lushnikov, University of New Mexico**

Conformal mappings and integrability of surface dynamics

4:00PM, Zoom: for link contact sergeyd@buffalo.edu

Geometry and Topology Seminar**Subhankar Dey, University of Alabama**

Detection results in link Floer homology

4:00PM, 122 Mathematics Building

Colloquium**Colloquium: Michael Brannan (University of Waterloo)Via Zoom**

4:00PM

Geometry and Topology Seminar**Hong Chang, University at Buffalo**

Efficient geodesics in the curve complex and their dot graphs

4:00PM, 122 Mathematics Building

Special Event**Colloquium: Gino Biondini, University at Buffalo**

Two adventures in integrable systems: thenonlinear Schrodinger equation with non-trivial boundary conditions

4:00PM, Room 250 Math Building, North Campus

A significant advance in mathematical physics in thesecond half of the twentieth century was the development of the theory ofmodern integrable systems. These systems are nonlinear evolution equations ofphysical significance that provide the nonlinear counterpart to the classicalPDEs of mathematical physics.

One such equation, and in some respects the mostimportant one, is the nonlinear Schrödinger (NLS) equation. The NLS equation isa universal model for weakly nonlinear dispersive wave packets, and arises in avariety of physical settings, including deep water, optics, acoustics, plasmas,condensed matter, etc. In addition, the NLS equation is a completelyintegrable, infinite-dimensional Hamiltonian system, and as a result itpossesses a remarkably deep and beautiful mathematical structure. At the rootof many of these properties is the existence of Lax pair, namely the fact thatthe NLS equation can be written as the compatibility condition of anoverdetermined pair of linear ODEs. The first half of the Lax pair for the NLSequation is the Zakharov-Shabat scattering problem, which is equivalent to aneigenvalue problem for a one-dimensional Dirac operator.

Even though the NLS equation has been extensively studiedthroughout the last sixty years, it continues to reveal new phenomena and offermany surprises. In particular, the focusing NLS equation with nontrivialboundary conditions has received renewed attention in recent years. This talkis devoted to presenting two recent results in this regard. Specifically, Iwill discuss: (i) A characterization of the universal nonlinear stage ofmodulational instability, achieved by studying the long-time asymptotics ofsolutions of the NLS equation with non-zero background; (ii) A characterizationof a two-parameter family of elliptic finite-band potentials of thenon-self-adjoint ZS operator, which are associated with purely real spectrum ofHill’s equation (i.e., the time-independent Schrodinger equation with periodiccoefficients) with a suitable complex potential.

Geometry and Topology Seminar**Sahana Hassan Balasubramanya, University of Münster**

Actions of solvable groups on hyperbolic spaces

4:00PM, Zoom

Algebra Seminar**Xiuping Su, University of Bath**

Kac's Theorem for a class of string algebras of affine type \(\mathbf {C}\).

4:00PM, Contact achirvas@buffalo.edu for zoom link

Applied Math Seminar**Dmitry Zakharov, Central Michigan U**

Lump chains in the KP-I equation

4:00PM, Zoom - contact sergeydy@buffalo.edu for link

Colloquium**Peter Thomas (Case Western U)**

Phase and phase-amplitude reduction for stochastic oscillators

4:00PM, 250 Math Bldg, also accessible via Zoom - contact badzioch@buffalo for link

Geometry and Topology Seminar**Daxun Wang, University at Buffalo**

Boundary action of CAT(0) groups and their \(C^\ast\)-algebras.

4:00PM, 122 Mathematics Building

Applied Math Seminar**Bernard Deconinck, U of Washington**

The water wave pressure problem

4:00PM, Zoom - contact sergeyd@buffalo.edu for link

Geometry and Topology Seminar**Matt Durham, UC Riverside/Cornell University**

Local quasicubicality and sublinear Morse geodesics in mapping class groups and Teichmuller space

4:00PM, 122 Mathematics Building

Algebra Seminar**Daniel Sage, LSU**

The Deligne–Simpson problem for connections on \(\mathbb{G}_m\) with a maximally ramified singularity

4:00PM, Mathematics Building Room 250

Applied Math Seminar**Svetlana Roudenko, Florida International University**

The gKdV world thru the NLS lens

4:00PM, Zoom, contact sergeyd@buffalo.edu for link

Colloquium**Juanita Pinzón Caicedo, University of Notre Dame**

Four-manifolds and knot concordance

4:00PM, 250 Math Bldg. Also via Zoom - contact badzioch@buffalo.edu for link.

Geometry and Topology Seminar**Juanita Pinzon Caicedo, University of Notre Dame**

Satellite Operations that are not homomorphisms.

4:00PM, 122 Mathematics Building

Special Event**Nicolle González, UCLA**

A skein theoretic \(A_{q,t}\) algebra

4:00PM, Mathematics Building room 250

Geometry and Topology Seminar**Ciprian Manolescu, Stanford University**

A knot Floer stable homotopy type

Knot Floer homology (introduced by Ozsváth–Szabó and Rasmussen) is an invariant whose definition is based on symplectic geometry, and whose applications have transformed knot theory over the last two decades. Starting from a grid diagram of a knot, I will explain how to construct a spectrum whose homology is knot Floer homology. Conjecturally, the homotopy type of the spectrum is an invariant of the knot. The construction does not use symplectic geometry, but rather builds on a combinatorial definition of knot Floer homology. We inductively define models for the moduli spaces of pseudo-holomorphic strips and disk bubbles, and patch them together into a framed flow category. The inductive step relies on the vanishing of an obstruction class that takes values in a complex of positive domains with partitions. (This is joint work with Sucharit Sarkar.)

4:00PM, Zoom

Algebra Seminar**Jie Ren, UB**

Quivers and 2-Calabi-Yau categories

4:00PM

The framework of Calabi-Yau categories is appropriate forthe theory of motivic Donaldson-Thomas invariants. I will give an introductionto the Calabi-Yau categories associated to quivers, and the analyticity oftheir stability structures.

Special Event**Jie Ren, UB**

Quivers and 2-Calabi-Yau categories

4:00PM

The framework of Calabi-Yau categories is appropriate forthe theory of motivic Donaldson-Thomas invariants. I will give an introductionto the Calabi-Yau categories associated to quivers, and the analyticity oftheir stability structures.

Applied Math Seminar**Panayotis Kevrekidis, U Mass**

Some Vignettes of Nonlinear Waves in Granular Crystals: From Modeling and Analysis to Computations and Experiments

4:00PM, Zoom - contact sergeyd@buffalo.edu for link

**2022 SPOTLIGHT**

INTERDISCIPLINARY EVENT

**UB Biological Sciences Seminar Series**

MARCH 3, 2022; 228 NSC and via Zoom

**Dr. Naoki Masuda, **UB Mathematics, *Gene network analysis: Revealing adaptive structural variants and quantifying omnigenic models. *

- 6/3/21Four years. You’ve strived, sweated and succeeded. You’ve made friends and memories to last a lifetime. You’ve come so far. To recognize this achievement, the UB Department of Mathematics is pleased to present the name of each graduate in our Class of 2021.
- 5/14/21
**PRESENTING UB MATHEMATICS CLASS OF 2020.**

Four years. You’ve strived, sweated and succeeded. You’ve made friends and memories to last a lifetime. You’ve come so far. To recognize this achievement, we present the name of each graduate in the Class of 2020.

**Class of 2019:** Professor John Ringland was the faculty speaker at the College of Arts Commencement. Professor Ringland's 2019 Commencement Address is here.

- 8/22/20The Myhill Lecture Series 2019,
*"Complex dynamics and arithmetic geometry"*, will be delivered by Dr. Laura DeMarco, Henry S. Noyes Professor of Mathematics at Northwestern University. She earned her PhD in 2002 from Harvard. DeMarco's research is focused on the dynamics of polynomial or rational mappings on algebraic varieties, especially in dimension 1, with the primary goal of understanding notions of stability and bifurcation. Her recent work explores connections between dynamical properties of maps and the arithmetic geometry of the underlying varieties.

**Dec 3 Algebra Seminar- S. Paul Smith, University of Washington**

Elliptic algebras

4:00PM, Mon Dec 3 2018, 150 Mathematics Bldg.

The algebras of the title form a flat family of (non-commutative!)

deformations of polynomial rings. They depend on a relatively prime

pair of integers n>k>0, an elliptic curve E, and a translation

automorphism of E. Quite a lot is known when n=3 and n=4 (and k=1),

in which case the algebras are deformations of the polynomial ring on

3 and 4 variables. These were discovered and have been closely studied

by Artin, Schelter, Tate, and Van den Bergh, and Sklyanin. They were

defined in full generality by Feigin and Odesskii around 1990 and

apart from their work at that time they have been little studied.

Their representation theory appears to be governed by, and best

understood in terms of, the geometry of embeddings of powers of E (and

related varieties like symmetric powers of E) in projective

spaces. Theta functions in several variables and mysterious identities

involving them provide a powerful technical tool.

This is a report on joint work with Alex Chirvasitu and Ryo Kanda.

- 8/22/20Myhill Lecture Series 2018 by Dr. Mark Newman,
*Anatol Rapoport Distinguished University Professor of Physics*, Department of Physics and Center for the Study of Complex Systems, University of Michigan.