5/23/18

Students acquire highly marketable techniques involving networks, complex systems, machine learning and data analysis alongside topics such as probability, statistics, computational methods and applied mathematics methods. The Mathematics MA includes an internship with a leading industry partner. The new program begins Fall 2018. APPLY TODAY.

9/5/17

Our faculty are well-published scholars in fields of algebra, analysis, applied mathematics, and geometry/topology. Cultivating excellence, collegiality, and diversity, our faculty observe the highest standards of ethics, integrity, and professionalism.

6/18/18

Mathematics is a broad discipline with many diverse applications in physical sciences, life sciences, and engineering as well as social and managerial sciences. The Department of Mathematics provides a variety of concentrations leading to Baccalaureate, Masters, and PhD degrees.

5/23/18

Our faculty-student ratio is high compared to many universities. We teach students to develop skill-sets in computation, analysis, research, communication, practical problem solving, and mathematical modeling.

**Join us on October 24, 25 and 26 for the Myhill Lecture Series. Learn more. **

In the event listing below, click on a title for lecture abstract.

**G&T Seminar**

Jing Tao (University of Oklahoma/Fields Institute)

Big Torelli groups

4:00PM, Fri Oct 19 2018, 122 Math

A surface S is of finite-type if its fundamental group is finitely generated; otherwise, it is of infinite type. The mapping class group MCG(S) of S is the group of isotopy classes of orientation-preserving homeomorphisms of S. This is a well-studied group when S has finite type, but big mapping class groups, i.e. MCG(S) of infinite-type surfaces, remain quite mysterious. But big mapping class groups arise naturally in various areas of mathematics and recently there has been a surge of interests in studying them. In this talk, I will discuss some recent results about the Torelli subgroup of MCG(S). This is joint with Aramayona, Ghaswala, Kent, McLeay, and Winarski.

**Algebra Seminar-Vasu Tewari, University of Pennsylvania**

Divided symmetrization and generalized permutahedra

4:00PM, Mon Nov 5 2018, 150 Mathematics Bldg

Generalized permutahedra are an important class of polytopes which

show up in many areas in mathematics. The volume and number of lattice

points of these polytopes are given by certain multivariate

polynomials that were introduced and +studied by Alex Postnikov, who

further established various remarkable combinatorial properties

thereof. In this talk, I will discuss in depth the procedure of

divided symmetrization that allows one to compute volumes of

generalized +permutahedra. Along the way, we will encounter familiar

combinatorial objects such as standard Young tableaux, reduced pipe

dreams, P-partitions and various Catalan objects.

This is joint work with Philippe Nadeau

**Algebra Seminar- Naihuan Jing, North Carolina State University**

Presentation of Yangian algebras in BCD types.

4:00PM, Mon Nov 12 2018, 150 Mathematics Bldg

It is well-known that the R-matrix presentation of the Yangian in type A yields generators of

its Drinfeld presentation. It has been an open problem since Drinfeld's pioneering work

to extend this result to the remaining types.

We will provide a solution for the classical types of BCD

by constructing an explicit isomorphism between

the R-matrix and Drinfeld presentations of the Yangian.

It is based on an embedding theorem which allows us to consider

the Yangian of rank n-1 as a subalgebra of the Yangian of rank n of the same type.

This is joint work with A. Molev and M. Liu.

**G&T Seminar**

Bülent Tosun (Alabama)

4:00PM, Fri Nov 16 2018, 122 Math

**G&T Seminar**

Jacob Russell (CUNY)

4:00PM, Fri Nov 30 2018, 122 Math

- 10/18/18
The architecture of each person’s brain is unique, and differences may influence how quickly people can complete various cognitive tasks. But how neuroanatomy impacts performance is largely an open question. To learn more, scientists are developing a new tool — computational models of the brain — to simulate how the structure of the brain may impact brain activity and, ultimately, human behavior. The research focuses on interconnectivity within the brain, looking at how different regions are linked to and interact with one another (traits that vary between individuals). A team led by Sarah Muldoon finds that this approach shows promise for understanding the interplay between brain structure and performance on language-related tasks. The research was published in PLOS Computational Biology on Oct. 17, 2018. Read more in the UB News Release.

- 6/1/18
The Department of Mathematics is pleased to announce that, as of July 1, 2018, Dr. Gino Biondini will be named department chair. Dr. Biondini takes over from Dr. David Hemmer who on the same day will begin to serve as dean of Michigan Technological University’s College of Sciences and Arts. Read more.

- 12/7/17
The American Mathematical Society recently published

__Braid Foliations in Low-Dimensional Topology__, co-authored by UB Mathematics Professor William W. Menasco, and Western Illinois University Professor Douglas J. LaFountain. This book is a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3-manifolds and more specifically in contact 3-manifolds. Professor Menasco is currently serving UB Math as Director of Graduate Studies. Learn more. - 8/24/17
UB Math welcomes Dane Taylor to our faculty in Fall 2017. His work, at the intersection of

*high-dimensional data analysis (HDDA)*,*nonlinear and complex systems,*and*network science,*uses analyses of functional and structural networks, time series, images, videos, etc., to study complex systems arising in biology, physics, and engineering. Aiming to develop new tools for HDDA, Taylor's research incorporates methodologies from nonlinear dynamics, linear algebra, spectral graph theory, computational topology, statistics, statistical physics and machine learning. We expect Taylor will make full use of abundant resources available at UB and within our department. - 8/24/17
UB Math welcomes Alexandru Chirvasitu to our faculty in Fall 2017. His work includes: representation theory with a quantum group flavour; non-commutative geometry and some functional analysis and operator algebras; category theory; and some algebraic geometry, mostly foundational issues, such as scheme/stack reconstruction from category-theoretic data. Chirvasitu is co-author of

*Exotic Elliptic Algebras of dimension 4*(with S. Paul Smith) forthcoming in*Advances in Mathematics.*We look forward to watching his impressive publication repository continue to grow as a member of our faculty.

- 2/26/18Matthew Eichhorn, a junior from Williamsville, NY, who is double majoring in Mathematics and Computer Science, has won our second Math Summer Scholarship. Matt is highly involved in the Math Department, participating in competitions including the Putnam exam and the Rochester Math Olympiad. Additionally, he has served as an undergraduate teaching assistant for both MTH 141 and MTH 241, as well as a tutor in the Thomas J. Edwards Undergraduate Learning Center, which assists students with material ranging from algebra and trigonometry through MTH 142.

The scholarship provides the opportunity for Matt to study theory and applications of machine learning under the guidance of Dr. John Ringland. The primary application will be designing and using deep convolutional neural networks to analyze Google Street View imagery from rural Thailand, with the ultimate goal of determining how farming practices, especially small-scale residential horticulture, are related to the food-security and health of the population. - 2/26/18The University at Buffalo Department of Mathematics is pleased to announce that Michael Montoro is the recipient of the first annual Summer Math Scholarship. The annual undergraduate research award, established in 2017, is a result of a scholarship endowment by The Summer Math Foundation, Inc. of Amherst, New York. The endowment supports a six week, full-time summer program for the selected undergraduate student to work with a UB Math faculty mentor, which includes a $3000 stipend.
- 12/5/17Founded by UB students interested in actuarial careers, "The Society of Future Actuaries" (SOFA) is now a club with roughly half of the membership interested in general data analytics.
- 8/2/17The Department of Mathematics is pleased to announce the recipients of the 2017 Excellence in Graduate Student Teaching. Winning the top awards, including a $750 prize, were Charles Cain and Abdalrazzaq Zalloum.
- 7/15/16Starting in Summer 2017, one UB mathematics major will be the first to receive the “Summer Math Scholarship” to pursue individual research with a faculty mentor. The Summer Math Foundation, Inc. of Amherst, NY has funded the program for 2017 and simultaneously established an endowment to support the program for future summers.
- 9/28/15Thomas Effland wins Grand Finals in the Association for Computing Machinery Student Research Competition for his paper,
*Focused Retrieval of University Course Descriptions from Highly Variable Sources.*