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.

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.

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.

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.

**Myhill Lecture #3**

Laura DeMarco

4:00PM, Fri Sep 20 2019

**Piotr Hajac, IMPAN; (Adam Sikora)**

4:00PM, Mon Sep 23 2019, Math 250

**Noncommutative Chern-Weil theory and homotopy invariance of Hochschild and****cyclic complexes**

Goodwillie’s theorem states that the periodic cyclic homology is invariant under nilpotent extensions. We discuss a special type of nilpotent extensions of unital algebras called row extensions.

They appear in abundance, and are always H-unital but generically non-unital and noncommutative. For these special nilpotent extensions, we prove a stronger result: the homotopy invariance

of Hochschild and cyclic complexes. A very specific type of a row extension appears naturally in

the construction of the Chern-Galois character. If P is an algebra with a principal coaction, and

B is its subalgebra of coaction invariants, then the Chern-Galois character factors through the row

extension of B by the nilpotent ideal consisting of the invariant universal differential one-forms

on P. When P is a principal comodule algebra, one can identify this ideal with the kernel of the

multiplication map restricted to the algebra of the associated Ehresmann-Schauenburg quantum

groupoid. For any principal coaction, all this leads to the Chern-Weil homomorphism defined on

the space of cotraces.

Based on joint work with Tomasz Maszczyk.

**Mariusz Tobolski (Hanfeng Li) Mathematics Polish Academy of Sciences**

Wednesday, September 25, 2019

A classical result from topology states that if X is a principal G-bundle over a paracompact space M, then there exists a map from M to the classifying space BG, and all isomorphic principal G-bundles are classified by the homotopy class of such a map. The aim of this talk is to find an analog of this result in the realm of noncommutative topology, where instead of topological spaces and groups, we consider C*-algebras and quantum groups respectively. First, we introduce the notion of a locally trivial noncommutative principal bundle in the setting of compact quantum group actions on C*-algebras. Then, for a compact quantum group G, we define the C*-algebra of functions on the noncommutative classifying space C(BG) and prove that it classifies all locally trivial noncommutative principal G-bundles.

**Colloquium: Piotr M. Hajac**

4:00PM, Thu Sep 26 2019

**Noncommutative Chern-Weil theory and homotopy invariance of Hochschild and****cyclic complexes**

Goodwillie’s theorem states that the periodic cyclic homology is invariant under nilpotent extensions. We discuss a special type of nilpotent extensions of unital algebras called row extensions.

They appear in abundance, and are always H-unital but generically non-unital and noncommutative. For these special nilpotent extensions, we prove a stronger result: the homotopy invariance

of Hochschild and cyclic complexes. A very specific type of a row extension appears naturally in

the construction of the Chern-Galois character. If P is an algebra with a principal coaction, and

B is its subalgebra of coaction invariants, then the Chern-Galois character factors through the row

extension of B by the nilpotent ideal consisting of the invariant universal differential one-forms

on P. When P is a principal comodule algebra, one can identify this ideal with the kernel of the

multiplication map restricted to the algebra of the associated Ehresmann-Schauenburg quantum

groupoid. For any principal coaction, all this leads to the Chern-Weil homomorphism defined on

the space of cotraces.

Based on joint work with Tomasz Maszczyk.

**G&T Seminar**

Subhankar Dey (UB)

4:00PM, Fri Sep 27 2019, 122 Mathematics Building

**Aparna Upadhyay, UB**

4:00PM, Mon Sep 30 2019, Math 250

**Kristofer Reyes (UB Department of Materials Design and Innovation)**

4:00PM, Tue Oct 1 2019, Math 250

**Yi Wang (Hanfeng Li)**

4:00PM, Wed Oct 2 2019, Math 250

In this talk, I will introduce a sharp inequality relating a parameterized set of weighted Bergman norms and the Hardy norm on the unit disk. The original form of this inequality can be traced back to to 1921, when Carleman provided a complex analytic proof of the famous isoperimetric theorem. In recent years, the inequality has regained attention because of its application in number theory. By taking a close examination of the derivatives of the norms with respect to the parameter, we obtain some sufficient conditions for the inequliaty to hold. This is joint work with Hui Dan and Kunyu Guo.

**Applied math seminar: Erdem Sariyuce**

4:00PM, Tue Oct 8 2019

**Xiaocheng Li, University of Wisconsin**

4:00PM, Wed Oct 9 2019

**Colloquium: Barry Fox**

A Quant’s Journey Toward Diversification

4:00PM, Thu Oct 17 2019

Portfolio diversification is a useful technique that has the potential to improve risk-adjusted returns for an investment portfolio. In this presentation we take a detailed look at diversification through theoretical considerations as well as empirical results. We analyze the degree of potential benefit of diversification as well as its limitations and trade-offs. This provides a glimpse into quantitative research conducted by Graham Capital’s systematic investment team.

**Applied math seminar: Mark Hoefer**

4:00PM, Tue Oct 22 2019

**Han Li, Wesleyan University ( Hanfeng Li)**

4:00PM, Wed Oct 23 2019

**Anita T. Layton (University of Waterloo)**

4:00PM, Tue Nov 19 2019

Math 250

- 9/16/19The Myhill Lecture Series 2019,
*"Complex dynamics and arithmetic geometry"*, will be delivered by Dr. Laura DeMarco, 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. - Welcome new faculty9/5/19
The Department of Mathematics is pleased to welcome new faculty starting Fall 2019:

**-Naoki Masuda,**Associate Professor (Applied Mathematics);

**-Simone Cassani**, Visiting Assistant Professor (Applied Mathematics);

**-Xin Ma,**Visiting

-**Margaret Nichols,**Visiting Assistant Professor (Geometric Topology);

**-Michael A. Rosas,**Clinical Assistant Professor, Calculus Coordinator (Representation Theory, Mathematics Education) - 8/16/19New research from the University of Buffalo, using computational models of individual people’s connectomes, shed light into individual differences in brain activation patterns, as well as how those patterns may change over time. Since 2009, scientists around the globe have worked to create the Human Connectome, a structural blueprint of the various neural pathways and connections that underlie thought, reason, emotion, and behavior in the brain. Thanks to those pioneering efforts, we now understand that different regions of the brain work together in concert, forming specific networks that facilitate movement, or learning, or our interactions with others—the cognitive skills that allow us to survive and thrive in our daily lives. Yet despite these advances, it’s still not entirely clear how these networks may differ from person to person. Sarah Muldoon, a mathematician at the University of Buffalo, has long been interested in understanding individual differences in the brain.
- 4/30/19Congratulations to Mark Marino on winning the 2018-2019 Milton Plesur Award for Excellence in Teaching. This award is given by the UB Student Association on behalf of the students who nominate their instructors. The award carries the honor of being recognized as an outstanding professor by the students they teach. Marino was presented the award at the organization's annual event, April 29, 2019.
**Read more in UBNow.**

- 5/3/19The University at Buffalo Department of Mathematics is pleased to announce that Destiny Diaz has won the National Science Foundation’s Graduate Research Fellowship Award. The prestigious award is one of the most competitive and respected scientific fellowships in the U.S. Diaz is completing a BS in mathematics with a minor in Spanish. Recently, Diaz received 2019 SUNY Chancellor’s Award for Student Excellence. A Buffalo native, she is a member of the University Honors College and a Prosperity Fellow. In Fall 2019, the NSF Graduate Research Fellowship will support her pursuit of graduate study in biostatistics at UB. The award provides three years of financial support within a five-year fellowship period, which amounts to a $34,000 annual stipend and $12,000 cost-of-education allowance to the graduate institution.
- 4/23/19Congratulations to the UB Student Team upon achieving the designation of Meritorious Winner in the 2019 Mathematical Contest in Modeling. The award puts the UB team in the top 8% of contestants. This year, 14,108 teams competed in the 35th Annual MCM Contest. The participating teams represented institutions from seventeen countries/regions from around the world.
**John Ringland,**Associate Professor and Associate Chair of UB Mathematics, served as faculty advisor for the UB student team. - 4/30/19Congratulations to
**Destiny Diaz**, winner of the 2019 SUNY Chancellor’s Award for Student Excellence. Diaz will graduate with a bachelor of science in mathematics and a minor in Spanish. Her accomplishments as an undergraduate student include: University Honors College Scholar; Ambassador for the College of Arts and Sciences; Western New York Prosperity Fellow; Volunteer, Dominican Republic Alternative Spring Break; and more. Diaz has completed research on how to increase STEM enrollment, and works at Roswell Park Comprehensive Cancer Center as a research apprentice. See the award announcement in UB Now. - 4/29/19On Thursday, April 25, 2019 UB's 15th Annual Celebration of Student Academic Excellence recognized five UB Mathematics students: Destiny Diaz, Michael Montoro, Julia V. Quebral, Anthony R. Taboni, and David Tallents. Our students are receiving various awards for outstanding work. The event began with the CURCA Poster Celebration, followed by the Awards Ceremony. The wide-ranging UB community gathers at this annual event to recognize and celebrate the outstanding academic contributions of our students, faculty and research mentors.
- 7/15/16Each summer, the “Summer Math Scholarship” is awarded to one UB Mathematics major. The scholarship allows the recipient to pursue individual research with a faculty mentor. The six-week, full-time, summer program provides a stipend of $3,000. The following academic year the research will be writtenup into a senior honors thesis. Applications are due each Fall. To apply for the scholarship, consult with your faculty mentor.
- 2/22/19Matthew 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. - 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.