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.

**October 24, 25 and 26. Learn more about the event. **

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

**G&T Seminar**

Jacob Russell (CUNY)

Convexity in Hierarchically Hyperbolic Spaces

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

Convexity is a fundamental notion across a variety of flavors of geometry. In the study of the course geometry of metric spaces, it is natural to study quasiconvexity i.e. convexity with respect to quasi-geodesics. We study quasiconvexity in the class of hierarchically hyperbolic spaces; a generalization of Gromov hyperbolic spaces which contains the mapping class group, right-angled Artin and Coxeter groups, and many 3-manifold groups. Inspired by the rich theory of quasiconvexity in hyperbolic spaces, we show that quasiconvex subsets of hierarchcially hyperbolic spaces mimic the behavior of quasiconvex subsets in hyperbolic spaces.

**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.

- 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.*