CV
Education
University of Wisconsin-Milwaukee Milwaukee, WI
MS, PhD Mathematics, Aug 2023-
University of Wisconsin-Madison Madison, WI
BS, Mathematics, Sept 2018-May 2022. GPA (unweighted): 3.672
BS, Computer Science, Sept 2018-May 2022. GPA (unweighted): 3.672
Papers
Defective Parking Functions and Young Tableaux. Rebecca E. Garcia, Pamela E. Harris, Alex Moon, Aaron Ortiz, Lauren J. Quesada, Cynthia Marie Rivera Sánchez, Dwight Anderson Williams II. 2024. Pre-print.
What shapes can appear in a curve shortening flow singularity? Sigurd Angenent, Evan Patrick Davis, Ellie DeCleene, Paige Ellingson, Ziheng Feng, Edgar Gevorgyan, Aris Lemmenes, Alex Moon, Tyler Joseph Tommasi, Yamin Zhou. 2024. Pre-print.
On some discrete statistics of parking functions. Ari Cruz, Kimberly J. Harry, Pamela E. Harris, Jan Kretschmann, Matt McClinton, Alex Moon, John O. Museus, Eric Redmon. 2024. Pre-print.
Talks
Orbits of Defective Parking Functions.
MAA Wisconsin Section Spring 2024 Meeting. April 2024. Whitewater, Wisconsin.
UWM Algebra Seminar. April 2024. Milwaukee, Wisconsin.
Linear Algebraic Techniques in Combinatorics. UW - Milwaukee Graduate Student Colloquium. Sept 2023. Milwaukee, Wisconsin.
Posters
Orbits of Defective Parking Functions. VII Encuentro Colombiano de Combinatoria (ECCO). June 2024. Popayán, Colombia.
Peakless Tieless Parking Functions. Mid-Atlantic Algebra, Geometry, and Combinatorics Workshop (MAAGC). Dec 2023. Richmond, Virginia.
A Parallel Implementation of a Nonlinear Diffusion Filter. LANL Student Symposium. Aug 2023. Los Alamos, New Mexico.
Topology in Curve Shortening Flow. MxM End of Semester Symposium. May 2022. Madison, Wisconsin.
Outreach and Featured Articles
Grad Students Leading the Way: How to Organize your own Local Workshop. MAA Master Blog. August 2024. Article.
Presentation Judge. UWM SURF Symposium. April 2024. Milwaukee, WI.
Research Experience
University of Wisconsin - Milwaukee (UWM) Research Seminar Oct 2023-
UWM
Milwaukee, WI
PI: Dr. Pamela E. Harris
Topic: Parking Functions
Have successfully defined and counted a novel class of parking functions (peakless tieless parking functions). Also have counted orbits of defective parking functions under the action of the symmetric group. Long term goal of fully understanding the nature of peaks, ties, valley, ascents, and descents in parking functions. Future work includes investigation of a combinatorial interpretation for the normalized volume of the CRY polytope.
Los Alamos National Lab Parallel Computing Summer Research Internship (LANL PCSRI) June-Aug 2023
LANL
Los Alamos, NM
PI: Dr. Nik Cordes, Dr. Shane Fogerty
Topic: Fast Parallelized Image Filters
Studied and implemented a fast, fully GPU parallelized nonlinear diffusion filter that reduces noise in a black and white image while maintaining edges. Primary use case is enhancing CT scans of dense, small objects. Implementation will be published in an open-source journal.
Madison Experimental Math Lab (MxM) Jan-May 2022
UW Madison Math Department
Madison, WI
PI: Dr. Sigurd Angenent
Topic: Topology of Curve Shortening Singularities
Studied and constructed initial conditions for the curve shortening flow PDE that gave interesting (generally unstable) terminal conditions. Presented the group’s findings at a poster presentation at the end of the semester.
Wisconsin Science and Computer Emerging Research Stars (WISCERS) Jan-Aug 2022
UW Madison Computer Science Department
Madison, WI
PI: Dr. Ilias Diakonikolas
Topic: Sample Complexity Bounds of Randomized Distribution Testing Algorithms
Found more exact bounds than were previously known for the number of samples required to determine properties of unknown probability distributions with high confidence. An application would be repeatedly rolling a die to determine whether it’s fair.
Other Learning
Students United for Faster Enumerative Reasoning fest (SUFFERfest) August 2024
UW - Milwaukee
Milwaukee, Wisconsin
Organized a week-long reading session out of chapter 7 of Stanley's "Enumerative Combinatorics (Volume 2)". Focused on symmetric function theory, particularly the Schur basis for the ring of symmetric functions.
VIII Encuentro Colombiano de Combinatoria June 2024
Universidad del Cauca
Popayán, Colombia
Attended a two week-long combinatorics summer school at the Universidad del Cauca. Topics covered include Ehrhart polynomials, toric varieities, matroids, and f-vector theory.
UW - Milwaukee Algebraic Geometry Reading Group Jan - May 2024
UW - Milwaukee
Milwaukee, Wisconsin
Organized a group of interested graduate students who meet weekly to discuss and work on exercises from Gathmann's algebraic geometry class notes.
Connecticut Summer School in Number Theory June 2022
University of Connecticut
Storrs, Connecticut
Attended a week-long number theory summer school at the University of Connecticut. Topics covered include general algebraic number theory, the Chebotarev density theorem, local fields, and Galois representations. Also attended the attached conference.
New Horizons in Theoretical Computer Science Summer School June 2021
Online
Attended a week-long online computer science summer school. Topics covered include randomized algorithms, theoretical machine learning, algorithm analysis, zero knowledge proofs, and game theory.
Employment
Graduate Teaching Assistant Aug 2023-Present
UW Milwaukee Math Department
Milwaukee, WI
Working as the primary instructor for two sections of college algebra. Responsible for lesson plans, grading, lecturing, and ensuring student success.
Math Tutor Sept 2022-May 2023
Jovie
Edina, MN
Worked as a one-on-one tutor with high school students who need help with math.
Drop-in Tutor Sept 2021-May 2022
UW Madison Math Department
Madison, WI
Provided a free service as a tutor in the math lab. Calculus and discrete math students could drop in to the lab at any time during our working hours for help with their classes.
WISCERS Researcher Jan-Aug 2021
UW Madison Computer Science Department
Madison, WI
Worked part time (~20 hours/week) on research questions in randomized distribution testing algorithms. Improved known sample bounds for multiple algorithms from a big-O estimation to a tight asymptotic value.
Volunteer Drop-in Tutor Jan-Dec 2019
UW Madison Greater University Tutoring Service
Madison, WI
Volunteered as a drop-in math and computer science tutor in Steenbock library on campus. Provided help to anyone who needed it for their math or computer science courses.