Curriculum Vitae

Employment

  • Assistant Department Chair: Towson University, 08/2023-present
  • Professor: Towson University, 08/2016-present
  • Acting Associate Dean, FCSM: Towson University, 07/2018-02/2019
  • Associate Professor: Towson University, 08/2010-07/2016
  • Assistant Professor: Towson University, 08/2005-07/2010
  • Postdoc: University of Texas at Austin, 01/2003-07/2005
  • Postdoc: University of Toronto, 07/2001-12/2002

Education

  • Ph.D. in Mathematics: University of South Carolina, 08/1997-08/2001
  • B.S. and M.S. in Mathematics: Plovdiv University, 09/1991-07/1996

Recent Publications

  • Explicit bounds for large gaps between cubefree integers (with W. McCormick, N. McNew, A. Park, R. Scherr, and W. Ziehr). To appear in “Combinatorial and Additive Number Theory VI” (Proceedings of the CANT Workshops, New York, NY: May 2022 and May 2023), Springer, 2025, pp. 259–282.
  • A framework for discrete bilinear spherical averages and applications to \(\ell^p\)-improving estimates (with T. Anderson and E. Palsson). Colloquium Mathematicum 175 (2024), 55–76.
  • Short interval results for powerfree polynomials over finite fields (with N. McNew and A. Park). International Journal of Number Theory 20 (2024), 867–892.
  • Explicit bounds for large gaps between squarefree integers (with S. McCormick, N. McNew, A. Park, R. Scherr, and W. Ziehr). Journal of Number Theory 254 (2024), 336–357.
  • Discrete maximal operators for surfaces of higher codimension (with T. Anderson and E. Palsson). (La) Matematica 1 (2022), 442–479.
  • The ergodic Waring-Goldbach problem (with T. Anderson, B. Cook and K. Hughes). Journal of Functional Analysis 282 (2022):109334, 39 pp.

Recent Seminars and Conference Talks

  • June 2024: Large gaps between k-free integers and polynomial analogs, Vistas in Number Theory, College Park, MD.
  • May 2023: New versions of old results on gaps between squarefree integers, CANT 2023, New York, NY.

Student Supervision

  • Ph.D. Theses, external co-advisor:
    • Huafeng Liu (Shandong University, 2017): On the Waring-Goldbach Problem with Almost Equal Summands.
    • Taiyu Li (Shandong University, 2012): Additive Problems with Prime Numbers.
  • Master’s Projects:
    • Felipe Pizarro (2014): A Large-Scale Scheduling Problem Subject to Multiple Constraint Classes
    • Amanda Williams (2012): Comparison Between AKS and Other Primality Tests
    • Kelly Nulph (2009): An Attack on a Modified KMOV Cryptosystem
  • Undergraduate Research Projects:
    • REU Group (Summer 2024, jointly with Dr. N. McNew): The Divisor Graph in \(\mathbb F_q[x]\).
    • REU Group (Summer 2022, jointly with Dr. N. McNew): Gaps Between Powerfree Integers.
    • AML Team (2012/2013, jointly with Dr. M. Pemy): Mathematical Modeling of Segregation Patterns in Urban Areas. 
    • AML Team (2010/2011, jointly with Dr. A. Kolesnikov): Risk Analysis: Toxic Materials Transportation Security.
    • Matthew Tiger (2009/2010): Infinite Series. 

Teaching Experience

  • at Towson University: College Algebra, Precalculus, Discrete Mathematics, Elementary Linear Algebra, Introduction to Abstract Mathematics, Calculus I, Calculus II, Calculus III, Honors Calculus I, Cryptography, Abstract Algebra I, Real Analysis I, Differential Equations, Linear Algebra, Number Theory, Abstarct Algebra II, Complex Analysis, Senior Seminar: Quadratic Reciprocity, Applied Mathematics Laboratory I; Linear and Nonlinear Programming*, Topics in Applied Operations Research*, Asymptotic and Perturbation Analysis*.
  • at the University of Texas: Calculus I, Calculus II, Discrete Mathematics, Elementary Linear Algebra, Probability, Complex Analysis, Topics in Analysis: Distribution of Primes*.
  • at the University of Toronto: Calculus, Introduction to PDEs.

*Graduate course