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Dedicated Teaching
8/30/23

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.


New: MS Program in Computational and Applied Mathematics
2/14/23
The demand for a professional labor force skilled in data analysis and
statistical methods, alongside scientific computation and other applied
mathematics techniques, and has grown tremendously over the last decade, and all
indications are that such growth will further accelerate in the near future.

Algebra, Analysis, Calculus, Applied Mathematics, Geometry, Topology and more
4/26/22

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.


Active Intellectual Life
4/26/22

The Department of Mathematics is proud of its excellent teaching and active
research programs. Several of our faculty members are recipients of the SUNY
Chancellor's Award for Excellence in Teaching. A strong tradition of mentorship
attracts the most promising individuals and supports their development.

 * 9/15/23 Faculty Research



Faculty Research
4/25/22

Each year  about one-third of our faculty hold external research grants from
agencies such as the U.S. Department of Defense, the National Security Agency,
and the National Science Foundation. Faculty research enhances our intellectual
and technological environment to support exceptionally creative science and
education.



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APPLY TO ONE OF OUR UNDERGRADUATE PROGRAMS
APPLY TO ONE OF OUR GRADUATE PROGRAMS



SEMINARS AND LECTURES

Fall 2023

Hosted by UB Math:
National event (recent)—
AMS Sectional Meeting 

Upcoming seminars listed below.







THU, OCT 26

Colloquium
Lei Yang, Institute for Advanced Study
Effective versions of Ratner’s equidistribution theorem
4:00PM, Mathematics Building, room 250

I will talk about recent progress in the study of quantitative equidistribution
of unipotent orbits in homogeneous spaces, namely, effective versions of
Ratner's equidistribution theorem. In particular, I will explain the proof of
unipotent orbits in SL(3, R)/SL(3, Z). The proof combines new ideas from
harmonic analysis and incidence geometry. In particular, the quantitative
behavior of unipotent orbits is closely related to a Kakeya model.  






MON, OCT 30

Algebra Seminar
Bach Nguyen, Xavier University
: Poisson geometry and the representation theory of cluster algebras Abstrract:
The relationship between Poisson geometry and cluster algebras was first studied
by M. Gekhtman, M. Shapiro, and A.Vainshtein. Following their work, we study the
global geometry picture of the affine Poisson varieties associated with a
cluster algebra and its quantizations,  root-of-unity quantum cluster algebras.
In particular, we prove that the spectrum of the upper cluster algebra, endowed
with the GSV Poisson structure, has a Zariski-open orbit of symplectic leaves
and give an explicit description of it. Our result provides a generalization of
the Richardson divisor of Schubert cells in flag varieties. Further, we describe
the fully-Azumaya loci of the root-of-unity upper quantum cluster algebras,
using the theory of Poisson orders. This classifies their irreducible
representations of maximal dimension. This is joint work with Greg Muller, Kurt
Trampel and Milen Yakimov. 
4:00PM, Mathematics Building room 250



SPEAKER: Bach Nguyen, Xavier University

 

Title:: Poisson geometry and the representation theory of cluster algebras

 

Abstrract: The relationship between Poisson geometry and cluster algebras was
first studied by M. Gekhtman, M. Shapiro, and A.Vainshtein. Following their
work, we study the global geometry picture of the affine Poisson varieties
associated with a cluster algebra and its quantizations,  root-of-unity quantum
cluster algebras. In particular, we prove that the spectrum of the upper cluster
algebra, endowed with the GSV Poisson structure, has a Zariski-open orbit of
symplectic leaves and give an explicit description of it. Our result provides a
generalization of the Richardson divisor of Schubert cells in flag varieties.
Further, we describe the fully-Azumaya loci of the root-of-unity upper quantum
cluster algebras, using the theory of Poisson orders. This classifies their
irreducible representations of maximal dimension. This is joint work with Greg
Muller, Kurt Trampel and Milen Yakimov.

 





WED, NOV 1

Analysis Seminar
Jinmin Wang, Texas A&M University
Stoker's problem and index theory on manifolds with polytope singularities
4:00PM, 250 Math Building

The Stoker problem states that the dihedral angles of a convex Euclidean
polyhedron determine the angles of each faces. In this talk, I will present
joint works with Zhizhang Xie and Guoliang Yu that answer positively to Stoker's
problem, and prove a more general dihedral rigidity for manifolds with polytope
singularities. I will briefly introduce our approach, the index theory of
Dirac-type operators on manifolds with polytope singularities under certain
boundary conditions. One of the key observations is the essential
self-adjointness of the Dirac-type operators near conical singularities.



FRI, NOV 3

Applied Math Seminar
Yijun Sun, UB
TBA.

3:00PM, Math 122 and on Zoom - contact mbichuch@buffalo.edu for link

TBA.




FRI, NOV 10

Applied Math Seminar
Dmitry Pelinovsky, Mcmaster University
Instability of peaked waves in hydrodynamical models.

3:00PM, Math 122 and on Zoom - contact mbichuch@buffalo.edu for link

Stokes' wave is a traveling (periodic or solitary) wave with a stagnation point
at its crest, where the surface of fluids has a peaked singularity. Stokes waves
have been considered within Euler's equations and have been modeled by using
reduced equations of motion such as the Camassa-Holm equation, the
rotation-modified Ostrovsky equation, and other systems with wave breaking. I
will overview the recent analysis of nonlinear, linear, and spectral instability
of the traveling peaked waves in some reduced models such as the b-family of the
Camassa-Holm equations. Well-posedness of the initial-value problem for this
family holds in the energy space as long as the first spatial derivative (the
wave slope) is bounded. We show that the travelling peaked waves are unstable
due to wave breaking when the wave slope becomes unbounded in a finite time.
This instability can also be studied by using the spectral stability analysis
within the linearized equations of motion obtained consistently with the
well-posedness results.



FRI, NOV 17

Applied Math Seminar
Giselle Sosa Jones, Oakland University
Discontinuous Galerkin discretizations of multiphase flow problems in porous
media.

3:00PM, Math 122 and on Zoom - contact mbichuch@buffalo.edu for link

Modeling the flow of liquid, aqueous, and vapor phases through porous media is a
complex and challenging task that requires solving nonlinear coupled partial
differential equations. In this talk, we propose a second-order accurate and
energy-stable time discretization method for the three-phase flow problem in
porous media. We prove the convergence of the subiterations to resolve the
nonlinearity, and show that the time-stepping method mimics the energy balance
relation that the continuous problem satisfies. Our spatial discretization uses
an interior penalty discontinuous Galerkin method, for which we establish the
well-posedness of the discrete problem and provide error estimates under certain
conditions on the data. We validate our method through numerical simulations,
which show that our approach achieves the expected theoretical convergence
rates. Furthermore, the numerical examples highlight the advantages of our time
discretization over other time discretizations.



WED, APR 24

Colloquium
Tomasz Mrowka, MIT
2023-24 Myhill Lecture #1
4:00PM

Title: 2023-24 Myhill Lecture #1



THU, APR 25

Colloquium
Tomasz Mrowka, MIT
2023-24 Myhill Lecture #2
4:00PM

Title: 2023-24 Myhill Lecture #2



FRI, APR 26

Colloquium
Tomasz Mrowka, MIT
2023-24 Myhill Lecture #3
4:00PM

Title: 2023-24 Myhill Lecture #3



FRI, MAY 3

Applied Math Seminar
Willy Hereman, Colorado School of Mines
TBA.

3:00PM, Math 122 and on Zoom - contact mbichuch@buffalo.edu for link

TBA.






FACULTY SPOTLIGHT

previous next
 * PNAS publishes collaborative research that sheds light on steep ocean wave
   dynamics
   11/3/20
   In a new collaborative study published in the Proceedings of the National
   Academy of Sciences (PNAS), a team of researchers from the University of
   Washington, SUNY at Buffalo and the University of New Mexico have unveiled
   the dominant mechanism behind wave-breaking of tall oceanic waves. The
   research team includes Prof. Bernard Deconinck (UW), Prof. Sergey Dyachenko
   (UB), Prof. Pavel Lushnikov (UNM) and Dr. Anastassiya Semenova (UW).
   
 * Dana Foundation News: Muldoon’s research probes questions about individual
   differences in brain activity
   8/22/20
   New 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.
   
 * Professor Hanfeng Li named to AMS 2021 Class of Fellows
   11/3/20
   The University at Buffalo Department of Mathematics is pleased to announce
   that the American Mathematical Society has named Professor Hangfeng Li a
   member of the 2021 Class of Fellows. The international honor places Professor
   Li among the world's outstanding mathematicians for his contributions to
   algebraic dynamics and operator algebras. He joined UB Mathematics in 2005,
   and is currently teaching MTH 424/524, “Survey of Fourier Series Methods”.
   His main research interest is on noncommutative geometry and dynamical
   systems, especially connections between operator algebras and dynamical
   systems. Professor Li's recent work concentrates on actions of countable
   sofic groups and algebraic actions of general countable (amenable) groups.
   Read the article by Charlotte Hsu.
   
   
 * Professor Naoki Masuda wins JSPS Prize
   2/26/20
   The University at Buffalo Department of Mathematics is pleased to announce
   that Dr. Naoki Masuda, Associate Professor, is the winner of the JSPS (Japan
   Society for Promotion of Science) Prize 2020. The national award recognizes
   his work, “Pioneering Research on Theory and Data-Analysis Methods for
   Temporal Networks”. Dr. Masuda attended the JSPS Awards Ceremony in February,
   2020, accompanied by his daughter, Ami Masuda. The JSPS 2020 Award included
   full funding of their travel to Japan. While there, Dr. Masuda and Ami
   participated in an exclusive audience with the Japanese Royal Family.
   
 * Robert Busch wins Milton Plesur Excellence in Teaching Award
   5/24/22
   The Department of Mathematics is pleased to announce that Robert Busch,
   clinical assistant professor, is the winner of the coveted Milton Plesur
   Excellence in Teaching Award, 2019-2020. Busch was recognized by the
   undergraduate Student Association for his commitment and dedication to
   students. He was nominated for the award by his students. Upon news of the
   award, Busch's first thought was to acknowledge his students: “To all my
   students, over all the years, and in all the classes…for giving me the
   privilege of being your instructor, for making me into a better teacher,
   communicator, and human being, for the pleasure of watching you learn and
   succeed, and for the thrill of seeing you graduate and step into your
   dreams…from the bottom of my heart…THANK YOU.”
   

See all


OUR STUDENTS

previous next
 * Miller and Scilla win the 2023 Montague Awards
   10/6/23
   The UB Department of Mathematics is pleased to announce that Alexandra Miller
   and Giacomo Scilla are the winners of the 2023 Harriet F. Montague Award. The
   award was established to commemorate the career of Dr. Montague, who was one
   of the early graduates the UB mathematics program, and who returned to chair
   the department for many years. The annual award is presented to one or more
   UB mathematics majors who have demonstrated intellectual and creative promise
   in mathematics. Of note, Giacomo Scilla is the recipient of the 2023 Summer
   Math Scholarship.
   
 * Destiny Diaz wins NSF Graduate Research Fellowship Award
   8/22/20
   The 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.
   
 * Yanyan Li presents research poster at SUNY conference and at UB's Celebration
   of Academic Excellence
   4/11/22
   Congratulations to UB Mathematics major Yanyan Li on being selected to
   present a research poster at two major events showcasing UB's undergraduate
   research excellence. Yanyan is studying gene co-expression networks under the
   guidance of her faculty mentor, Dr. Naoki Masuda. Specifically, she is
   deploying mathematical and computational methods for searching anomalous
   genes in networks of co-expression across different human organs, and how
   such genes may have evolutionary implications. Yanyan is one of the four
   awardees to present research at the SUNY 2022 Undergraduate Research
   Conference, held at Buffalo State College on April 23.  Yanyan will also
   present her work at UB's 18th Annual Celebration of Student Academic
   Excellence, on April 27, 2022. All are welcome to attend.
   
 * Giacomo Scilla wins the 2023 Summer Math Scholarship
   3/16/23
   The UB Department of Mathematics is pleased to announce that Giacomo Scilla
   is the recipient of the 2023 Summer Math Scholarship. Together with faculty
   mentor Dr. Gino Biondini, Scilla formulated an undergraduate research project
   aimed at understanding the classification of two-dimensional wave patterns
   governed by the solutions of the Kadomtsev-Petviashvili equation, with the
   ultimate goal of deriving efficient methods to generate large ensembles of
   such solutions.
   
   
 * Linda Alegria, UB Math Graduate Student, wins Excellence in Teaching Award
   4/25/22
   The Department of Mathematics is pleased to announce that Linda Alegria has
   been awarded the University at Buffalo's 2022 Excellence in Teaching Award
   for Graduate Student Teaching Assistants. The award was presented at a
   luncheon in April, with Satish Tripathi, UB President, and Robin Schulze, CAS
   Dean, in attendance.
   
   
 * Yanyan Li presents research poster at SUNY conference and at UB's Celebration
   of Academic Excellence
   4/11/22
   Congratulations to UB Mathematics major Yanyan Li on being selected to
   present a research poster at two major events showcasing UB's undergraduate
   research excellence. Yanyan is studying gene co-expression networks under the
   guidance of her faculty mentor, Dr. Naoki Masuda. Specifically, she is
   deploying mathematical and computational methods for searching anomalous
   genes in networks of co-expression across different human organs, and how
   such genes may have evolutionary implications. Yanyan is one of the four
   awardees to present research at the SUNY 2022 Undergraduate Research
   Conference, held at Buffalo State College on April 23.  Yanyan will also
   present her work at UB's 18th Annual Celebration of Student Academic
   Excellence, on April 27, 2022. All are welcome to attend.
   

See all


YOUR MATH TUTOR IS HERE

UB MATH HELP CENTER

FREE AND OPEN TO STUDENTS 

Our students take advantage of free, in-person sessions  for math tutoring,
advice, and resources to help them succeed in courses for MTH 121, 122, 131,
141, 142, 241, 306, 309, and more.  Learn more.






OUR ALUMNI

previous next
 * "My experience has been that machine learning is largely viewed as magic and
   even engineers often have a skewed perspective of what it can accomplish."
   11/22/17
   
   Andrew Leach, Machine Learning Deployment Engineer, Google
   
   
   
 * "I enjoyed Dr. Cusick's cryptography course and all of my algebra and number
   theory courses...those mathematical areas became my goal and led me to
   working at the National Security Agency."
   2/29/16
   
   Alyssa Thompson, PhD, 2012
   UB Mathematics
   
   
 * "I just decided after we went through that ($6.1 billion) buyout that I
   really wanted to go out and try some other things, and that's what I'm
   doing."
   3/5/16
   
   Catherine Burzik, MA '74
   UB Mathematics
   
   
   
 * “Linguistics is math with words," states Natasha Sanford, "I like analyzing
   languages and there are so many computer applications that go with it.”
   Sanford earned a BS in 2015, with a Major in Mathematics and Computer
   Science, and a Minor in Linguistics.  
   8/4/17
   
   
 * "It was one of the first stepping stones for me. It opened everything up.”
   11/21/17
   
   Max Bileschi, BA, BCS, MA
   UB Mathematics and Computer Science
   
   
   
 * “I find it always interesting to think about how my current work might extend
   to the unknown. That is very exciting to me, and it drives me further.”
   3/12/16
   
   Geoffrey Fatin
   Double Major in Physics and Mathematics
   
   

Learn more


UB OFFICE OF EQUITY, DIVERSITY, AND INCLUSIVE EXCELLENCE

Realizing full potential

UB is committed to achieving inclusive excellence in a deliberate, intentional
and coordinated fashion, embedding it in every aspect of our operations. We
aspire to foster a healthy, productive, ethical, fair, and affirming campus
community to allow all students, faculty and staff to thrive and realize their
full potential. 


 * Promoting Equal Employment Opportunity and Diversity
 * UB Inclusive Excellence Resources
 * UB Intercultural and Diversity Center
 * Trainings and Toolkits
 * External Resources






UB MATH SPOTLIGHT

 * Congratulations to the Class of 2023
   6/13/23
   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, the UB Department of Mathematics is pleased to publish the name
   of each undergraduate in the Class of 2023.
   
 * Giacomo Scilla wins the 2023 Summer Math Scholarship
   3/16/23
   The UB Department of Mathematics is pleased to announce that Giacomo Scilla
   is the recipient of the 2023 Summer Math Scholarship. Together with faculty
   mentor Dr. Gino Biondini, Scilla formulated an undergraduate research project
   aimed at understanding the classification of two-dimensional wave patterns
   governed by the solutions of the Kadomtsev-Petviashvili equation, with the
   ultimate goal of deriving efficient methods to generate large ensembles of
   such solutions.
   
   
 * Robert Busch wins Milton Plesur Excellence in Teaching Award
   5/24/22
   The Department of Mathematics is pleased to announce that Robert Busch,
   clinical assistant professor, is the winner of the coveted Milton Plesur
   Excellence in Teaching Award, 2019-2020. Busch was recognized by the
   undergraduate Student Association for his commitment and dedication to
   students. He was nominated for the award by his students. Upon news of the
   award, Busch's first thought was to acknowledge his students: “To all my
   students, over all the years, and in all the classes…for giving me the
   privilege of being your instructor, for making me into a better teacher,
   communicator, and human being, for the pleasure of watching you learn and
   succeed, and for the thrill of seeing you graduate and step into your
   dreams…from the bottom of my heart…THANK YOU.”
   
 * Destiny Diaz wins NSF Graduate Research Fellowship Award
   8/22/20
   The 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.
   
 * UB Math Grads win NSF Graduate Research Fellowships
   6/4/16
   The National Science Foundation Graduate Research Fellowship Program (GRFP)
   named a record number of winners from UB this year, one more than all the
   awards given to students in the rest of the SUNY system. For the 2016
   competition, NSF received close to 17,000 applications, and made 2,000 award
   offers.
   
 * Professor Naoki Masuda wins JSPS Prize
   2/26/20
   The University at Buffalo Department of Mathematics is pleased to announce
   that Dr. Naoki Masuda, Associate Professor, is the winner of the JSPS (Japan
   Society for Promotion of Science) Prize 2020. The national award recognizes
   his work, “Pioneering Research on Theory and Data-Analysis Methods for
   Temporal Networks”. Dr. Masuda attended the JSPS Awards Ceremony in February,
   2020, accompanied by his daughter, Ami Masuda. The JSPS 2020 Award included
   full funding of their travel to Japan. While there, Dr. Masuda and Ami
   participated in an exclusive audience with the Japanese Royal Family.
   



 * PNAS publishes collaborative research that sheds light on steep ocean wave
   dynamics
   11/3/20
   In a new collaborative study published in the Proceedings of the National
   Academy of Sciences (PNAS), a team of researchers from the University of
   Washington, SUNY at Buffalo and the University of New Mexico have unveiled
   the dominant mechanism behind wave-breaking of tall oceanic waves. The
   research team includes Prof. Bernard Deconinck (UW), Prof. Sergey Dyachenko
   (UB), Prof. Pavel Lushnikov (UNM) and Dr. Anastassiya Semenova (UW).
   
 * Linda Alegria, UB Math Graduate Student, wins Excellence in Teaching Award
   4/25/22
   The Department of Mathematics is pleased to announce that Linda Alegria has
   been awarded the University at Buffalo's 2022 Excellence in Teaching Award
   for Graduate Student Teaching Assistants. The award was presented at a
   luncheon in April, with Satish Tripathi, UB President, and Robin Schulze, CAS
   Dean, in attendance.
   
   
 * Julia Shapiro wins SUNY Chancellor's Award for Student Excellence
   3/31/22
   The University at Buffalo Department of Mathematics is pleased to announce
   that Julia Shapiro, winner of the 2022 SUNY Chancellor's Award for Student
   Excellence. Shapiro will graduate with a bachelor of science in mathematics,
   and her accomplishments as an undergraduate student include: University
   Honors College Scholar,  winner of the 2021 Harriet F. Montague Award, and
   President of the UB Undergraduate Math Club. Shapiro has completed research
   on Markov Chains through a nationally recognized program at the University of
   Connecticut, has been a Peer Mentor in the Honors College,  has served as an
   Ambassador of both the Honors College and the College of Arts and Sciences,
   and has served as an Undergraduate Teaching Assistant in three separate
   departments — Mathematics, Biostatistics, and Computer Science. 
   
 * Professor Sarah Muldoon delivers session on analyzing neuroimaging data
   across scales
   11/3/20
   Statisticians from across upstate New York will descend on UB May 2-4 for
   UP-STAT 2022, the 10th joint conference of the Upstate Chapters of the
   American Statistical Association. Sarah Muldoon, associate professor in the
   Department of Mathematics, UB College of Arts and Sciences, will deliver a
   special invited session on modeling and analyzing neuroimaging data across
   scales. Visit the conference website.  Read the story by David J. Hill.
   
 * Professor Hanfeng Li named to AMS 2021 Class of Fellows
   11/3/20
   The University at Buffalo Department of Mathematics is pleased to announce
   that the American Mathematical Society has named Professor Hangfeng Li a
   member of the 2021 Class of Fellows. The international honor places Professor
   Li among the world's outstanding mathematicians for his contributions to
   algebraic dynamics and operator algebras. He joined UB Mathematics in 2005,
   and is currently teaching MTH 424/524, “Survey of Fourier Series Methods”.
   His main research interest is on noncommutative geometry and dynamical
   systems, especially connections between operator algebras and dynamical
   systems. Professor Li's recent work concentrates on actions of countable
   sofic groups and algebraic actions of general countable (amenable) groups.
   Read the article by Charlotte Hsu.
   
   





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