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My research area is Analytic and Elementary Number Theory. 

Publications

6. Sum of proper divisors with missing digits (with G. Cesana, C. Dartyge, C. Dombrowsky, L. Thompson),  to appear in WiNE-4 Proceedings, preprint available at https://arxiv.org/abs/2307.12859

5. Small prime kth power residues, Proc. Amer. Math. Soc. 148 (2020), no. 9, pp. 3801-3809. 

4. On the number of prime factors of the composite numbers resulting after a change of digits of primes, J. Théor. des Nombres Bordeaux  31 (2019), no. 3, pp. 689-696. (pdf)
3. Small prime kth power residues for k = 2; 3; 4: a quadratic reciprocity approach (with P. Pollack), Proc. Amer. Math. 147 (2018), 987–994. (pdf)
2. On the number of pure fields of prime degree, Colloq. Math.  153 (1), (2018), pp. 39-50. (pdf)
1. Mean values of the functional equation factors at the zeros of derivatives of the Riemann Zeta-Function and Dirichlet L-functions (with E. Elma and C. Y. Yıldırım), Analytic Number Theory, Modular Forms and q-Hypergeometric Series, Springer International Publishing AG, (2017), pp. 59-67. (pdf)


Preprints 

  • A discrete mean value of the Riemann zeta function (with E. Elma and N. Ng), submitted, preprint available at https://arxiv.org/abs/2311.13554

  • An annotated bibliography for comparative prime number theory, with G. Martin, P. J. S. Yang, A. Bahrini, P. Bajpai, J. Downey, Y. Y. Li, X. Liang, A. Parvardi, R. Simpson, E. White, and C. H. Yip, available at https://arxiv.org/abs/2309.0872

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  • Explicit zero repulsion of Dirichlet L-functions (with S. Goel, H. Twiss and A. Zaman), in preparation. 

  • Explicit zero free regions for Dirichlet L-functions (with E. Elma, H. Kadiri), in preparation. 

  • Subword complexity of the Fibonacci-Thue-Morse sequence along polynomials (with T. Stoll), in preparation. 

  • On the large values of short character sums, in preparation. 

  • On the discrete fourth moment of the derivative of the Riemann zeta function (with F. Çiçek, E. Elma, A. Hamieh and N. Ng), in preparation. 

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Talks

Upcoming Planned Talks
       

  • The Quebec-Vermont Number Theory Seminar, Montréal, March 28, 2024

  • CIRM-"Prime numbers and arithmetic randomness" Conference,
     June 23-27, 2025

                   
Previous Talks

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  • Sums of proper divisors with missing digits, January, 2024,  University of British Columbia Number Theory Seminar (online)

  • Discrete moments of the derivatives of the Riemann zeta function, December, 2023,  CMS Winter Meeting, Montréal

  • Sums of proper divisors with missing digits, October 2023, PIMS-Lethbridge Number Theory and Combinatorics seminar 

  • Character Sums and Primes, July  2022, IECL Réunion, IECL, Metz

  • Factor complexity along polynomial subsequences of the Fibonacci-Thue-Morse sequence, July  2022, ArithRand 2022, TU Graz

  • Changes in digits of primes, April 2022, Zahlentheoretisches Kolloquium, TU Graz 

  • Small prime kth power residues modulo p, February 2022, Emergent Research: The PIMS Postdoctoral Fellow Seminar (online)

  •  Small prime kth power residues modulo p, January 2022, Séminaire Ernest, Institut de Mathematiques de Marseille 

  • Changes in digits of primes, December 2021, Metz-Nancy Number Theory Seminar, IECL, Nancy

  • Changes in digits of primes, November 2021, Rencontres de théorie analytique et élémentaire des nombres, Paris

  • Small prime power residues modulo p,  May 2021, Metz-Nancy Number Theory Seminar, IECL, Nancy (online) 

  • Prime power residues modulo p, September 2020, PIMS-Lethbridge Number Theory and Combinatorics seminar (online)

  • Short sums of Dirichlet characters, July 2020, Mock AMS Graduate Student Conference, University of Georgia (online)

  • On the number of prime power residues, November 2019, Number Theory Seminar, University of Waterloo, Ontario

  • On the number of prime power residues, October 2019, Emory Algebra and Number Theory Seminars, Emory University, Atlanta

  • Changes of Digits of Primes, September 2019, PANTS XXXII, University of North Carolina at Charlotte

  • Squares modulo p, July 2019, Mock AMS Graduate Student Conference, University of Georgia

  • Small prime power residues, July 2019, Journées Arithmétiques XXXI, Ä°stanbul University, Ä°stanbul 

  • Small prime power residues modulo p, December 2018, PANTS XXXI, PAlmetto Number Theory Series, University of South Carolina 

  • Small prime power residues, October 2018, UGA Number Theory Seminar, University of Georgia

  • Small prime power residues, July 2018, Mock AMS Graduate Student Conference, University of Georgia

  • Sieve methods and an application to prime power residues, March 2018, Graduate Students Seminars, University of Georgia

  • Counting Pure Fields, July 2017, Graduate Student Summer Conference, University of Georgia

  • Switching Digits of Primes, July 2016, Mock AMS Conference, University of Georgia

  • Mean value theorems for the derivatives of Riemann Zeta-Function and Dirichlet L-functions, March 2016, Graduate Student Seminars, University of Georgia

         

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