Published Papers

Arora, Palak & Bruda, Glenn & Fang, Bruce & Marquez, Raul & Miller, Steven & Prapashtica, Beni & Sharan, Vismay & Son, Daeyoung & Tang, Xueyiming & Waheed, Saad. (2025). Journal of Number Theory. 277. Upper Bounds for the Lowest First Zero in Families of Cuspidal Newforms. Journal of Number Theory. 277. 10.1016/j.jnt.2025.02.012.

Link to Paper

Bruda, Glenn & Cooper, Joseph & Jaber, Kareem & Marquez, Raul & Miller, Steven. (2025). Fibonacci Quarterly. Variants of Conway Checkers and k-nacci Jumping. 10.1080/00150517.2025.2526500.

Link to Paper

Cashman, Caroline & Cooper, Joseph & Marquez, Raul & Miller, Steven & Shuffleton, Jenna. (2025). Mathematics Magazine. 1-13. Hyper-bishops, Hyper-rooks, and Hyper-queens: Percentage of Safe Squares on Higher Dimensional Chess Boards. 10.1080/00150517.2025.2526500.

Link to Paper

Submitted Papers

Bruda, Glenn & Fang, Bruce & Gilman, Pico & Marquez, Raul & Miller, Steven & Prapashtica, Beni & Son, Daeyoung & Waheed, Saad & Wang, Janine. (2024). A Closed Formula for Linear Recurrences with Constant Coefficients. 10.48550/arXiv.2408.12660. Submitted to Fibonacci Quarterly

Link to Paper

Bruda, Glenn & Fang, Bruce & Marquez, Raul & Miller, Steven & Prapashtica, Beni & Sharan, Vismay & Son, Daeyoung & Waheed, Saad & Wang, Janine. (2025). The Limiting Spectral Distribution of Various Matrix Ensembles Under the Anticommutator Operation. 10.48550/arXiv.2502.00505. Submitted to Random Matrices: Theory and Applications

Link to Paper

Prepared Talks

Marquez, Raul. Elliptic Curves: Understanding Their Significance and the Point Addition Operation. Stephen F. Austin University. 18th Texas Undergraduate Mathematics Conference. October 28, 2023.

Conference Webpage

Marquez, Raul. Upper Bounds for the Lowest First Zero in Families of Cuspidal Newforms. Prarie View Texas A&M. 104th Annual Meeting of the Texas Section of the Mathematical Association of America. March 29, 2025.

Conference Webpage

Marquez, Raul. Upper Bounds for the Lowest First Zero in Families of Cuspidal Newforms. University of North Texas. 37th Automorphic Forms Workshop. May 3, 2025.

Conference Webpage

Marquez, Raul. Analyzing bounds on $s$-distance sets utilizing distance relations. Hiroshima University. Workshop on Combinatorics and Representation Theory. May 26, 2026.

Conference Webpage

Marquez, Raul. Analyzing bounds on $s$-distance sets utilizing distance relations. Waseda University. Mini-Workshop on Discrete Mathematics and Related Topics. June 1, 2026.

Conference Webpage

Marquez, Raul. Analyzing bounds on $s$-distance sets utilizing distance relations. Tohoku University. Invited Speaker. June 3, 2026.

Conference Webpage

Coursework

Graduate (UTRGV)

Thesis I (Fall 2026)

Measure Theory and Analysis (Fall 2026)

Computing for Mathematical and Data Science (Fall 2026)

Analysis II (Summer 2026)

Algebra II (Spring 2026)

Real Analysis I (Spring 2026)

Analytic Number Theory (Spring 2026)

Algebra I (Fall 2025)

Numerical Analysis (Fall 2025)

Probality and Statistics (Spring 2025)

Discrete Mathematics (Spring 2025)

Partial Differential Equations (Spring 2025)

Linear Algebra (Fall 2024)

Undergraduate (UTRGV)

Basics of LIGO Data Analysis (Summer 2025)

Modern Algebra II (Spring 2025)

Real Analysis II (Spring 2025)

Topology (Fall 2024)

Applied Discrete Mathematics (Fall 2024)

Electromagnetism (Fall 2024)

Math Project (Fall 2024), Worked on PAWS Assignments on Root Systems

Modern Algebra I (Spring 2024)

Number Theory (Spring 2024)

Boundary Value Problems (Spring 2024)

Analysis I (Spring 2024)

Optics (Spring 2024)

Probability and Statistics (Fall 2023)

Physics for Scientists and Engineers III (Fall 2023)

Complex Variables (Fall 2023)

Modern Geometry (Fall 2023)

Intro to Math Proofs (Fall 2023)