Note: Research Projects/Presentations denoted with a "" are from the Applied and Computational Mathematics Graduate Program.
Some past and current students recently gave presentations at the Fall 2023 meeting of EPaDel held November 11, 2023 at Villanova University.
Dachao Sun is a current mathematics graduate student at West Chester University. His talk was entitled Fourier Inversion of Moment Generating Functions.
Abstract: Moment generating functions (MGFs) are a insightful tool in probability theory and statistics, which shares the identical form of a two-sided Laplace transform. In a typical progression of the introduction MGFs, a look-up table is usually present in purpose of finding the corresponding probability distribution from which an MGF is calculated by summation or integration. Here, we will start from the definitions of integral transform and (exponential) Fourier transform, and delve into the general case of moment generating functions, and then perform a "Fourier inversion" to get back to the probability density function, using the Fourier transform as a wrapper tool.
Alexander Furia, former West Chester mathematics student, recently received his PhD in mathematics from Drexel University. He is presently Assistant Professor of Mathematics at Chestnut Hill College. His talk was entitled The Many Pitfalls of Computers and the Ladder of Verification:
Abstract: Numerical computation power has increased drastically over the past few decades. This numerical power has resulted in many benefits for mathematicians. However, while computers do provide an amazing resource, many pitfalls exist that make numerical results difficult to obtain. In this talk we will explore the many issues that can arise when trying to obtain numerical data in a scattering problem and a present the ladder of verification used to ensure accurate results.
Kenneth Gill, former Westchester mathematics student, is currently completing his PhD at Penn State. His talk was entitled Probabilistic automatic complexity of finite strings.
Abstract: We define a new complexity measure A_P(x) for finite strings x using probabilistic finite-state automata (PFAs), inspired by similar existing notions that use deterministic and nondeterministic automata. AP(x) is the smallest size of a PFA for which x is the most likely string to be accepted among those of the same length. In this talk, we survey the results that have been obtained so far, including a complete classification of the binary strings with A_P(x)=2, and discuss future directions of research.
CSM Research Poster Session 12/7/2022
Recent Student Publication
It has been some time since we highlighted student publications.
- In Fall 2022, John Aceti (current MA student who will graduate in Fall 2022) and Professor Jeremy Brazas wrote a paper, "Elements of higher homotopy groups undetectable by polyhedral approximation", which has been submitted for publication.
- In Fall 2021, Sarah Emery (previous student in the MA program, now graduated (having completed a thesis under the supervision of Professor Shiv Gupta) and currently teaching at Delaware County Community College) and Professor Jeremy Brazas wrote a paper, "Free quasitopological groups", which has been submitted for publication.
- Eric Boerman (MS student in the Applied and Computational program), working with Professor Chuan Li, was a co-author of the paper "A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains", which has been submitted to the Journal of Scientific Computing
- Mark McGowan (former MS student in the Applied and Computational program) , working with Professor Chuan Li, was a co-author of the paper "A Newton-like iterative method implemented in the DelPhi for solving the nonlinear Poisson-Boltzmann equation", which appeared in Mathematical Biosciences and Engineering 2020, Volume 17, Issue 6.
- Cameron Campbell (former MS student in the Applied and Computational program) and Stacy Ashlyn (former undergraduate student in the Applied and Computational program) , working with Professor Chuan Li, were co-authors of the paper "Alternating direction ghost-fluid methods for solving the heat equation with interfaces", which appeared in Computers & Mathematics with Applications Volume 80, Issue 5, 1 September 2020, Pages 714-732.
Updated bibliographic information for papers previously submitted:
- J. Brazas, P. Gillespie, Topological monoids are transfinitely pi_1-commutative. Topology Proceedings 57 (2021) 1-14.
- J. Brazas, P. Gillespie, Infinitary commutativity and abelianization in fundamental groups. Journal of the Australian Math. Soc. 112 (2022), no. 3, 289-311.
- J. Brazas, P. Gillespie, Fundamental groups of James reduced products. Topology Appl. 317 (2022) 108193.
A big "thank you" to Professor Chuan Li for the extra effort he made in the Spring 2022 semester to collect and organize the names of the students and their presentation titles, all files for the posters, the pictures of the students and the various videos from the two Spring 2022 student research events, all of which were used to create the record of these events found immediately below. Here is a video Professor Li put together from these materials.
CSM Research Poster Session 5/2/2022
The Mathematics Department was also well represented at the CSM Student Recognition Ceremony held on Monday, May 2nd, 2022 (the CSM record of the event may be accessed here ).
Katie DeRosa (undergraduate), a student of Professor Barbara Swartz, was the 2nd place winner of undergraduate student poster presentations.
Katie DeRosa (undergraduate), with her poster presentation "Investigating the Impact of “Take Home Manipulative Kits” on Teacher Candidates Self-Reported Growth in Their Mathematical Content Knowledge Dispositions".
Several students of Professor Laura Pyott also presented posters (see below for links to individual posters).
Some students of Professor Laura Pyott, who presented posters at the CSM Poster Session
Emma DeLuca (undergraduate) presented the poster entitled "The Jewish Relief Agency Services Received 2022 vs 2020 ".
Gianna LaFrance (undergraduate) presented the poster entitled "JRA Client food Insecurity: Post Pandemic ".
Boning Liu presented the poster entitled "Comparison of Food Insecurity Among Holocaust Survivors from 2020 to 2022 ".
Jack Ross (undergraduate), with his poster "Assistance for Elderly Households in Philadelphia ".
Julia Zelinsky (undergraduate) with her poster entitled "Rising Food Insecurity in Philadelphia Families due to COVID-19".
Here is a video of Julia discussing her poster.
Three students of Professor Chuan Li, Brendan Coffey (undergraduate, speaker), Julia Zelinsky (undergraduate) and Eric Boerman (graduate) presented a poster "Development of a Numerical Solver for Modeling Magnetic Hyperthermia". Here is a short video of Brendan discussing the poster.
Research and Creative Activity Day 4/29/2022
Several students from the Mathematics Department participated in the Spring 2022 Research and Creative Activity Day.
Two groups of students working under the supervision of Professor Chuan Li gave oral presentations.
Students Eric Boerman (graduate, speaker), Brendan Coffey (undergraduate) and Julia Zelinsky (undergraduate) worked on the project "Developing an FFT-Accelerated High-Order Solver for Heat Equations Over Irregular Domains ". Eric was a 2nd place winner of graduate student oral presentations. Here is a video of Eric delivering the presentation.
Students Scott Moon (graduate, speaker), Corey Zhang (graduate) and Chhatra Sule (undergraduate) worked on the project "Cardiac Action Potential – The Luo-Rudy Model ". Scott was a 2nd place winner of graduate student oral presentations. Here is a video of Scott making the presentation.
Scott and Eric with their awards, with Professor Chuan Li.
Three students of Professor Laura Pyott, Austin Eveland (undergraduate), Sehrish Khan (undergraduate) and Evan Parker (undergraduate), gave poster presentations (see below for links to individual posters, if they are available).
Austin Eveland (undergraduate) with his poster "Uncovering Utility: Analysis of Monthly Food Box Subscriptions"
Evan Parker (undergraduate) with his poster "Food Box Preferences: Ukrainians vs. Non-Ukrainians".
Sehrish Khan (undergraduate) with her poster "Analyzing Response Disparities Between Food Needs and Overall Satisfaction of JRA in Holocaust Survivors".
In Spring 2022, John Aceti won a Scholarly Research & Creative Activity (SRCA) Award, and he gave an oral presentation at the Research and Creative Activity Day in Fall 2022 as part of his acceptance. John also won an award for his presentation at this years Research and Creative Activity Day.
John also received the first Viorel Nitica Mathematics Scholarship at the Department Of Mathematics 35th Annual Awards in November 2021 and Dr. Jeremy Brazas received an RAWA to collaborate on research with John.
Research and Creative Activity Day 4/29/2021
Eric Boerman (graduate student, Applied and Computational Mathematics (A&C) Program, working with Professor Chuan Li) won 1st place for his oral presentation in the Research and Creative Activity Day held on Thursday 4/29/2021 (see the Promotional Flyer ).
Eric's presentation was entitled
and was joint work with Khanh Pham and Katie Peltier
Mathematics graduate students Mick Bauer and Henry Brown, also working with Professor Li, presented in this Research and Creative Activity Day also. Mick Bauer's presentation was entitled
and was joint work with Rex Llewellyn and Shauna Frank. Henry Brown's presentation was entitled
Congratulations to everyone for their excellent work.
CSM Research Poster Session 4/27/2021
Some students of Professor Chuan Li presented posters at the CSM Research Poster Session, on Tuesday 4/27/2021.
Rex Llewellyn (graduate student, Applied and Computational Mathematics (A&C) Program) presented a poster entitled
and which was joint work with Shauna Frank (above) and Michael Bauer.
Khanh Pham (graduate, A&C program) and Katherine Peltier (undergraduate, A&C BS), presented another poster entitled
and which was joint work with Eric Boerman.
Congratulations to all of them for their excellent work.
Patrick Gillespie, who is now a PhD student at The University of Tennessee, Knoxville, wrote three papers with Dr. Jeremy Brazas. One is published, one is accepted, and the other is still under review.
- J. Brazas, P. Gillespie, Topological monoids are transfinitely pi_1-commutative. Topology Proceedings 57 (2021) 1-14.
- J. Brazas, P. Gillespie, Infinitary commutativity and abelianization in fundamental groups. To appear in the Journal of the Australian Mathematical Society. 2020. https://doi.org/10.1017/S1446788720000427
- J. Brazas, P. Gillespie, Fundamental groups of James reduced products. Submitted for publication. 2020.
Evolution in Philadelphia Conference (EPiC), September 8, 2018, at the Academy of Natural Sciences in Philadelphia.
Two students of Dr. Allison Kolpas, graduate student Lane D’Alessandro and undergraduate student Jeremy Budgeon , presented posters at the Evolution in Philadelphia Conference (EPiC) on Saturday, September 8th at the Academy of Natural Sciences in Philadelphia.
Lane D’Alessandro presenting his poster at the Evolution in Philadelphia Conference (EPiC) on Saturday, September 8th 2018.
Here is the poster from Lane's presentation.
Here is the
Lane is a graduate student in the M.S. in Applied and Computational Mathematics program. He is conducting research with Dr. Allison Kolpas.
Jeremy Budgeon presenting his poster at the Evolution in Philadelphia Conference (EPiC) on Saturday, September 8th 2018
Here is the poster from Jeremy's presentation.
Here is the
from the poster.
Jeremy is an undergraduate student in the Applied and Computational Mathematics BS track, with minors in Statistics and Computer Science. He is conducting research with Dr. Allison Kolpas.
Paper Published in the Bulletin of Mathematical Biology
The paper “Optimal Mating Strategies for Preferentially Outcrossing Simultaneous Hermaphrodites in the Presence of Predators” has been published in the Bulletin of Mathematical Biology.
Corin Stratton was an undergraduate researcher in mathematics at the time the paper was written and is currently in the MA in Mathematics program at WCU.
Corin was supported by an NSF RUI Grant that Dr. Auld and Dr. Kolpas share.
Applied Mathematics Seminar
January 31st, West Chester University
Xiaojuan (Cathy) Yu is a graduate student working on (unrelated) projects with Dr. Allison Kolpas and Dr. Chuan Li. The seminar talk she gave is on research she conducted while holding an internship at Stroud Water Research Center.
Click here to download the pdf file of her presentation.
Research in Mathematics and Sciences (RIMS) Award
Dr. Chuan Li has received a Research in Mathematics and the Sciences (RIMS) Award from West Chester University's College of the Sciences and Mathematics. This award is for his project Development of a new Matched Alternate Direction Implicit (ADI) method for solving parabolic interface problems.
Two undergraduate students, Cameron Campbell and Stacy Porten-Willson, will be supported by this grant for their research activities in this project in 2017-2018.
23rd Industrial Mathematical and Statistical Modeling Workshop for Graduate Students
July 16-26, 2017, SAS Hall on the campus of North Carolina State University
Benjamin Plumridge, a graduate student working with Dr. Andreas Aristotelous, has been accepted to the
Industrial Math/Stat Modeling Workshop for Graduate Students – July 16-26, 2017.
This is a prestigious and selective program (information about last year's workshop), with only 30-40 graduate students from the USA (sometimes from outside the USA) accepted each year, so big congratulations to Ben.
April 15 2017, University of Pennsylvania, Philadelphia
Lane D’Alessandro, a graduate student working with Dr. Allison Kolpas, gave a talk at the EPiC conference.
April 12 2017, West Chester University
Ben Plumridge, a graduate student working with Dr. Andreas Aristotelous, and Lane D’Alessandro, a graduate student working with Dr. Allison Kolpas, gave presentations in the Applied
Ben's talk was entitled Developing a Computational Model of Dorsal Closure. Here is the abstract and the presentation .
Lane's talk was entitled Optimizing Overall Reproductive Fitness Using Resource Allocation. Here is the abstract.
April 1 2017, Kutztown University
From left to right: Dr. Chuan Li, Dr. Lisa Marano, Xiaojuan Yu, Stacy Porten-Willson and Cameron Campbell at the EPaDel Spring 2017 Section Meeting.
View pictures, slideshow and pdf files from the EPaDel Spring 2017 Section Meeting held on April 1 at Kutztown University, where some of mathematics department students gave presentations.
March 22, 2017, West Chester University
Lane D’Alessandro and Maggie Celentano, students working with Dr. Allison Kolpas, and Ben Plumridge and Cathy Yu, students also working with Dr. Allison Kolpas, gave presentations in the Applied Mathematics Seminar.
A paper on which Dr. Allison Kolpas and her student Adam Helker are two of the co-authors was published in the Journal of Evolutionary Biology in December 2016.
Auld, J. R., Helker, A. D. and Kolpas, A. (2016), Consequences of mating and predation risk for longevity in a freshwater snail: abstinence makes the heart beat longer. Journal of Evolutionary Biology, 29: 2539–2544. doi: 10.1111/jeb.12976
Research Day October 2016
All Science Poster Day Fall 2016
Winners at the All Science Poster Day Fall 2016 include mathematics students Lane D’Alessandro (left), and Stacy Porten-Willson and Cameron Campbell (center).
View pictures, slideshow and abstracts from the All Science Poster Day Fall 2016, where some of mathematics department students participated
Dr. Viorel Nitica and his student Kenneth Gill published a paper in the Open Journal of Discrete Mathematics in July 2016.
Gill, K. and Nitica, V. (2016)Signed Tilings by Ribbon L n-Ominoes, n Even, via Grobner Bases.Open Journal of Discrete Mathematics,6, 185-206. doi:10.4236/ojdm.2016.63017. To view the journal's abstract page for the paper please use the links above.
July 11 - 14 2016, Boston, MA.
Research Day April 2016
Corin Stratton, a student working with Dr. Allison Kolpas, gave a presentation, Optimal Mating Strategies of Hermaphroditic Snails, at Research Day April 2016. Follow the link to download the pdf file for Corin's presentation .
All Science Poster Day Spring 2016
SRCA Award, Spring 2016
Corin Stratton, a student working with Dr. Allison Kolpas, received an Award for Excellence in Student Research, Scholarly, and Creative Activities, in Spring 2016, for his project entitled Optimal Mating Strategies of Hermaphroditic Snails.
West Chester University Research, Scholarly and Creative Activities Report, 2014-15
All Science Poster Day Fall 2015
MAA MathFest:Using Social Networking Analysis in Higher Education
Washington, August 6, 2015 - Prabhat Kumar, Natalie Hurd, and Paul Johnson
The speakers will discuss several Social Network Analysis (SNA) research projects of which they were a part at their university. The aim of these SNAs was determine ways to maximize interactions between faculty and the flow of information across the campus. Areas of particular interest included the use of High Impact Educational Practices and support systems for Underrepresented Minorities. This talk will highlight the research methods used to conduct the SNA and the major results of several SNAs.
MAA EPaDel Meeting
Dickinson College, April 6, 2013 - A Generalization of the Game of Shove, Brian Stoyell-Mullholland
A brief exposition of the algebra of combinatorial game theory. The solution of the game of Shove is demonstrated and how, by a simple alteration to the rules, the game can be generalized. This generalization, Stumble, creates infinitesimals that are not present in Shove. Although not completely solved yet, interesting propositions have been discovered.
February 25th - March 1st 2013, Boston, MA.
Alex Meade, a student working with Dr. Allison Kolpas, gave a presentation at the SIAM Conference on Computational Science & Engineering.
Student Research Opportunities
- EDGE Summer Program for Women
- IPAM Research in Industrial Projects for Students (RIPS)
- National Research Experience for Undergraduates Program (NREUP)
- PIC Math - Preparation for Industrial Careers in Mathematical Sciences
- Research Experience for Undergraduates (REU) Summer Programs (AMS page)
- REU SITES: MATHEMATICAL SCIENCES (NSF page)
- Summer Program for Women in Mathematics
- Summer Undergraduate Applied Mathematics Institute
- University of Nebraska Summer IMMERSE Program
Student Research Publications
- The Harvard College Mathematics Review (HCMR)
- Journal of Young Investigators
- Rose Hulman Undergraduate Math Journal
- SIAM Undergraduate Research Online (SIURO)
Meetings/Conferences where student research may be presented
- Joint Mathematics Meetings (JMM) (see the "students" tab at towards the bottom left)
- MAA MathFest
- MAA Section Meetings
- Nebraska Conference for Undergraduate Women in Mathematics
- Young Mathematicians Conference (YMC)