Identities involving the number of missing integers in partitions - combinatorial proofs (with Dr. Cristina Ballantine)
Submitted
Congruences in Arithmetic Progression for Coefficients of Gaussian Polynomials and Crank Statistics (with Dr. Brandt Kronholm)
In preparation
Hansraj Gupta's "A technique in partitions" revisited: congruences, cranks, and polyhedral geometry (with Dr. Brandt Kronholm)
2025: International Journal of Number TheoryFeb. 2026 Department of Mathematics Seminar - Union College, NY
Title: An Invitation to PartitionsMay 2025 The 37th Automorphic Forms Workshop
Title: Congruences in arithmetic progression for coefficients of Gaussian polynomials and crank statisticsApril 2025 Spring 2025 Eastern Sectional Meeting In Hartford, CT - AMS Special Session on Partitions and q-Series
Title: Congruences in arithmetic progression for coefficients of Gaussian polynomials and crank statisticsFeb. 2025 Horizon Montessori Public Schools Math Olympiad
Title: More than just numbersFeb. 2025 Number Theory Seminar - University of Florida Gainesville
Title: Congruences in arithmetic progression for coefficients of Gaussian polynomials and crank statisticsJan. 2025 Joint Mathematics Meetings - AMS Special Session on Partition Theory and q-Series
Title: Congruences in arithmetic progression for coefficients of Gaussian polynomials and crank statisticsDec. 2024 SMSS Undergraduate and Graduate Research Conference - Fall 2024
Title: Congruences in arithmetic progression for coefficients of Gaussian polynomials and crank statisticsNov. 2024 Japan Society for the Promotion of Science (JSPS) Information Session
Title: 2023 JSPS FellowshipNov. 2024 The 15th Benemerita Universidad Autonoma de Puebla (BUAP)-Universidad Autónoma Metropolitana-Iztapalapa (UAMI)-The University of Texas Rio Grande Valley (UTRGV) Joint International Conference
Title: Congruences in arithmetic progression for coefficients of Gaussian polynomials and crank statisticsOct. 2024 2024 Southeast Sectional Meeting at the Armstrong Campus of Georgia Southern University -
AMS Special Session on Partitions and q-Series
Title: Congruences in arithmetic progression for coefficients of Gaussian polynomials and crank statisticsOct. 2024 UTRGV Number Theory Seminar
Title: Congruences in arithmetic progression for coefficients of Gaussian polynomials and crank statistics
Sept. 2024 2024 Fall Central Sectional Meeting at the University of Texas at San Antonio -
AMS Special Session on Additive Number Theory and Modular Forms
Title: Congruences in arithmetic progression for coefficients of Gaussian polynomials and crank statisticsJune 2024 The Legacy of Ramanujan Conference Poster Session, Pennsylvania State University
Title: Congruence Properties of consecutive coefficients in arithmetic progression of Gaussian PolynomialsApril 2024 The 5th UTRGV School of Mathematical and Statistical Sciences Teaching-Related Workshop
Title: Maximizing Learning Potential: Utilizing Guided Notes in Remedial Class InstructionMar 2024 Spring Meeting of the Mathematical Association of America, Texas State University
Title: Congruence Properties of consecutive coefficients in arithmetic progression of Gaussian PolynomialsFeb. 2024 UTRGV Number Theory Seminar
Title: Congruence Properties of consecutive coefficients in arithmetic progression of Gaussian Polynomials
Feb. 2024 UTRGV Graduate Research Development & SPIE Seminar
Title: Congruence Properties of consecutive coefficients in arithmetic progression of Gaussian PolynomialsJan. 2024 Joint Mathematics Meetings - AMS Contributed Paper Session on Number Theory and Related Topics, IV
Title: Congruence Properties of consecutive coefficients in arithmetic progression of Gaussian PolynomialsJune 2023 Japan Society for the Promotion of Science Poster Session
Title: Infinite Families of Partition Divisibility PatternsApril 2024 7th Coastal Bend Mathematics and Statistics Conference
Title: Combinatorial Witnesses for an Infinite Family of Partition CongruencesSept. 2022 Fall 2022 Central Sectional Meeting - AMS Special Session on The Intersection of Number Theory and Combinatorics
Title: Cranks and Polyhedral GeometryApril 2022 Joint Mathematics Meetings - AMS Special Session on Partition Theory and Related Topics
Title: Gupta, Ramanujan, Dyson, and Ehrhart: Formulas for Partition Functions, Congruences, Cranks and Polyhedral GeometryMay 2021 Specialty Seminar in Partition Theory, Michigan Technological University
Title: Gupta, Ramanujan, Dyson, and Ehrhart: Formulas for Partition Functions, Congruences, Cranks and Polyhedral GeometryUTRGV Presidential Graduate Research Assistant Thesis/Project Weekly Seminar
Oct 2020 Title: Improving and Applying Gupta's 1974 ResultApril 2020 Title: Generating Functions and Restricted Partition Functions