UW-Milwaukee Mathematical Sciences

UW-Milwaukee Mathematical Sciences Official page of the UW-Milwaukee Department of Mathematical Sciences.

The Department Mathematical Sciences at the University of Wisconsin-Milwaukee is home to an active community of teachers, scholars, undergraduates, and graduate students. In addition to most traditional areas of Pure and Applied Mathematics, the department contains all UWM programs in Actuarial Science and Atmospheric Science. The department offers Bachelor’s, Master’s, and Doctoral studies in all

of these areas, in addition to several interdisciplinary programs. Established in 1963, the PhD in Mathematics is the original doctoral program at UWM.

09/02/2026

Colloquium Update!!!!

The colloquium this Friday for Christian Wolf has been canceled.

Join us on Monday, August 17th, at 10:00am in EMS E495 for Menalu Mekcha's MS Thesis Defense!Title: On the Combinatorics...
08/11/2026

Join us on Monday, August 17th, at 10:00am in EMS E495 for Menalu Mekcha's MS Thesis Defense!

Title:
On the Combinatorics of Restricted Skew Dyck Paths

Abstract:
This thesis studies the enumerative combinatorics of skew and restricted Dyck path families. Beginning with classical Dyck paths, non-decreasing Dyck paths, and domino tilings, we review their connections to Catalan numbers and odd-indexed Fibonacci numbers. For partial skew Dyck paths, we use Prodinger’s decorated path framework and the kernel method to obtain level-by-level generating functions and a structural bijection explaining the level recurrence.
The main contribution concerns restricted skew Dyck paths whose valley heights form a non-decreasing sequence. By tracking semi-length and peak count, we derive the bivariate generating function S_UD(x,y)=xy(1-2x)/((1-2x)^2-xy(1-x)). Setting y=1 recovers the total enumeration as a Fibonacci binomial sum. Finally, extracting row polynomials from this generating function shows that the double-indexed array s_UD(n,m) gives a combinatorial realization of OEIS triangle A114164.

Join us next Thursday, August 6th, at 9:30am in EMS E495 for Monica Cabria's MS Thesis Defense!Title: Convergences group...
07/28/2026

Join us next Thursday, August 6th, at 9:30am in EMS E495 for Monica Cabria's MS Thesis Defense!

Title:
Convergences groups and Gromov Hyperbolic Spaces

Abstract:
This thesis investigates the relationship between convergence group actions and hyperbolic spaces. Since the 1990s, this relationship has been a significant theme in geometric group theory, revealing deep connections between geometry and dynamics. The goal of this thesis is to provide a streamlined introduction to these ideas and to clarify the proofs of several foundational results.
In particular, we discuss a theorem of Tukia and Freden showing that properly discontinuous actions on hyperbolic spaces induce convergence group actions on their boundaries, and a theorem of Bowditch characterizing convergence group actions through the induced action on the space of distinct triples. Together, these results illustrate how geometric properties of hyperbolic spaces are reflected in the dynamics of group actions on their boundaries.

Join us next Friday, June 26th from 2:00pm-3:30pm in EMS W109, for Liam Jemison's PhD Dissertation Defense! Title:A Nonl...
06/16/2026

Join us next Friday, June 26th from 2:00pm-3:30pm in EMS W109, for Liam Jemison's PhD Dissertation Defense!

Title:
A Nonlocal Poisson–Boltzmann Model, Finite Element Solver, and Parallel Implementation for Ion Channels in Multispecies Ionic Solutions

Abstract:
We introduce the first nonlocal Poisson–-Boltzmann Ion Channel (NPBIC) model and corresponding finite element solver for three-dimensional ion channel–membrane systems in solvents with multiple ionic species. Although the NPBIC model presents numerical challenges caused by strong nonlinearities, nonlocal convolution terms, discontinuous interface conditions, and solution singularities induced by atomic point charges, we develop a novel decomposition technique for solving the model. We present a parallel NPBIC finite element solver package, and a host of numerical experiments and validation.

Mastered it! 🎓
05/22/2026

Mastered it! 🎓

Here are a few photos from the award ceremony! Photo cred: Hayley Nathan & Samuel StraubmullerMorris & Miriam Marden Awa...
05/22/2026

Here are a few photos from the award ceremony!
Photo cred: Hayley Nathan & Samuel Straubmuller

Morris & Miriam Marden Award
[pictured from left to right]
Lilly Carillo, Kayla Picasso, Joakim Jakovleski, Harrison Piehowski, Matt McClinton, Jonathan Walker-Moses, Kushlam Srivastava, Melissa Beerbower

Mathematical Sciences Graduate Teaching Award
[pictured from left to right]
Dr. Lei Wang (award committee member), John Museus, Olivia Bouthot, Rexford Cudjoe

Teply Award
[pictured from left to right]
Dr. Dexuan Xie (award committee member), Megan Whitehead, Matt McClinton, Kushlam Srivastava

Bruce & Janice Mielke Math Scholarship
[pictured from left to right]
Kayla Picasso, Dr. Gabriella Pinter

Congratulations to all of our Mathematical Sciences Spring 2026 Scholarship recipients! These awards are evidence of you...
05/22/2026

Congratulations to all of our Mathematical Sciences Spring 2026 Scholarship recipients! These awards are evidence of your hard work and commitment!

Melissa Beerbower attended the Great Plains Combinatorics Conference at University of Kansas, and presented their poster...
05/13/2026

Melissa Beerbower attended the Great Plains Combinatorics Conference at University of Kansas, and presented their poster: “Counting ℓ-Interval Fubini Rankings."
Way to go, Melissa!

Congratulations to Katie Scharenbroch, a student in Math 175/176/275, on being awarded the 2026 Sister Mary Petronia Van...
05/11/2026

Congratulations to Katie Scharenbroch, a student in Math 175/176/275, on being awarded the 2026 Sister Mary Petronia Van Straten Scholarship. This honor was presented by the Wisconsin Mathematics Council in recognition of her outstanding potential and dedication to the field of mathematics education.

From her own high-level mathematics work to her incredible impact as a UWM tutor for Math 175 and 176, Katie defines excellence. But what truly sets her apart isn't just her sharp problem-solving skills—it’s her heart for teaching.

Her fellow students say it best: "Katie is the reason I have learned to love math and finally feel comfortable expressing my ideas."
"She is extremely present... and will adjust her teaching if we ever need something explained differently."

Whether she's greeting students with a smile or baking fresh cookies for exam review sessions, Katie goes above and beyond to build confidence in others. We are so proud of the leader, tutor, and future educator you are, Katie! You are a true rising star in education!

Join us next Friday, May 15th, at 2:00pm in EMS E495 for Jerianne Bonaguidi's MS Thesis Defense!Title: Proving a Softbal...
05/08/2026

Join us next Friday, May 15th, at 2:00pm in EMS E495 for Jerianne Bonaguidi's MS Thesis Defense!

Title:
Proving a Softball Pitch Can Rise Under 60mph Through Mathematical Modeling

Abstract:
Many softball coaches claim that a pitcher cannot actually throw a rise ball under 60mph; they claim it is just a “high fastball.” This project tests that theory with a live pitcher, calculus, and physics equations. The major claim is that if a pitcher has a high enough spin rate, the ball can still rise throughout its whole entire trajectory, even if thrown under 60mph.

Address

EMS Building, Room E403; 3200 N Cramer Street
Milwaukee, WI
53211

Opening Hours

Monday 7:30am - 4:30pm
Tuesday 7:30am - 5pm
Wednesday 8am - 4:30pm
Thursday 8am - 4:30pm
Friday 7:30am - 5pm

Telephone

+14142294836

Website

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