11/26/18

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. 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.

**Graduate Mentoring Seminar- Dr. Dane Taylor**

Mathematics of Multilayer Networks for Data Science and Complex Systems

5:00PM, Tue Feb 19 2019, 250 Mathematics Building

Networks are a natural representation for datasets arising in biology (neuroscience, microbiomes and genetics), social systems (reality mining, politics and online social networks) and critical infrastructures (internet, power grid, and transportation system). Due in part to the diversity of applications, there remains a significant gap between the popular heuristics that are widely used for these systems and the development of rigorous techniques grounded on first principles in mathematics and statistics. I will describe my analyses of multilayer networks in which different layers encode different types of edges, such as complementary datatypes or a network at different instances in time. This research involves a variety of techniques (e.g., linear algebra, perturbation theory, random matrix theory, and computational topology/geometry) and is both applied and theoretical. For example, I will discuss the ranking of U.S. Mathematics Departments using data from the Mathematics Genealogy Project as well as describe the information-theoretic limitations on the detectability of communities in networks. I will focus on situations in which applied mathematics can have significant impact in network science as well as describe situations where the applications are demanding new mathematical methods.

**Colloquium- Dr. Steven Mackey, Western Michigan University**

"Inverse Problems for Matrix Polynomials and Rational Matrices"

4:00PM, Thu Mar 7 2019, 250 Mathematics bldg.

Matrix polynomials arise in a variety of application areas,

including the vibration analysis of mechanical structures, optimal control,

and linear systems theory. The key structural data of a matrix polynomial

in many such applications are its eigenvalues and elementary divisors (both

finite and infinite), together with its left and right minimal indices. A

fundamental inverse problem for matrix polynomials, then, is to characterize

the combinations of structural data that are realizable by some matrix polynomial.

And when a list of structural data is realizable in principle, is it possible to simply

construct a realization in such a way that the given structural data is transparently

visible, in a manner analogous to the Jordan canonical form for matrices, or the

Kronecker canonical form for matrix pencils? In this talk we discuss recent work

on these questions, and as time permits the analogous questions for rational

matrices.

**G&T Seminar**

Levi Sledd (Vanderbilt)

4:00PM, Fri Mar 8 2019, Math 122

**G&T Seminar**

Ruth Charney (Brandeis)

4:00PM, Fri Apr 19 2019, Math 122

**G&T Seminar**

Catherine Pfaff (Queen's University)

4:00PM, Fri May 3 2019, Math 122

- 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. - 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.

- 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. - 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.

- 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.
- 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. - 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.* - 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.
- 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.