Micah B. Milinovich

I am an Associate Professor in the Department of Mathematics at the University of Mississippi

In May 2008, I completed a Ph.D. under the supervision of Professor Steven M. Gonek at the University of Rochester.

Here is my CV (last updated April 2015).

Contact Information:

Teaching (Fall 2018):

Course Time Room
       Math 261 -- Section 22 (Honors College)
   MWF: 8:00-8:50am
     Hume 106
       Math 261 -- Section 8 (Honors College)    MWF: 1:00-1:50pm      Hume 110


My Google Scholar profile.

(published versions may differ slightly)
  1. Fourier optimization and prime gaps, (with E. Carneiro and K. Soundararajan)
    submitted for publication.
  2. Subconvexity for modular form L-functions in the t aspect, (with A. Booker and N. Ng)
    submitted for publication.
  3. Euler's formula for the zeta function at the positive even integers, (with S. Krishnamurthy)
    submitted for publication.
  4. A note on the least prime that splits completely in a nonabelain Galois number field, (with Z. Ge and P. Pollack)
    submitted for publication.
  5. Gaps between zeros of the Riemann zeta-function, (with Hung M. Bui)
    Quarterly Journal of Mathematics, to appear.
  6. Bandlimited approximations and estimates for the Riemann zeta-function, (with E. Carneiro and A. Chirre)
    submitted for publication.
  7. Linear relations of zeros of the zeta function,
    Oberwolfach Reports, no. 53, to appear.
  8. Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function, (with E. Carneiro, V. Chandee and F. Littmann)
    Journal für die reine und angewandte Mathematik (Crelle's Journal), 725 (2017), 143--182.
  9. A note on the zeros of zeta and L-functions, (with Emanuel Carneiro and Vorrapan Chandee)
    Mathematische Zeitschrift, 281 (2015), no. 1-2, 315--332.
  10. A hybrid Euler-Hadamard product and moments of ζ'(ρ), (with Hung M. Bui and Steven M. Gonek)
    Forum Mathematicum, 27 (2015), no. 3, 1799--1828.
  11. Simple zeros of modular L-functions, (with Nathan Ng)
    Proceedings of the London Mathematical Society, 109 (2014), no. 6, 1465--1506.
  12. Lower bounds for moments of ζ'(ρ), (with Nathan Ng)
    International Mathematics Research Notices (IMRN), (2014), no. 12, 3190--3216.
  13. Moments of products of automorphic L-functions, (with Caroline Turnage-Butterbaugh)
    Journal of Number Theory, 139 (2014), 175--204.
  14. On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis, (with Hung M. Bui and Stephen J. Lester)
    Journal of Mathematical Analysis and Applications, 409 (2014), no. 1, 244--253.
  15. Bounding S(t) and S1(t) on the Riemann Hypothesis, (with Emanuel Carneiro and Vorrapan Chandee)
    Mathematische Annalen, 356 (2013), no. 3, 939--968.
  16. A note on simple a-points of L-functions, (with Steven M. Gonek and Stephen J. Lester)
    Proceedings of the American Mathematical Society, 140 (2012), no. 12, 4097--4103.
  17. A note on a conjecture of Gonek(with Nathan Ng)
    Functiones et Approximatio, Commentarii Mathematici, 46 (2012), no. 2, 177--187.
  18. Moments of the Riemann zeta-function at its relative extrema on the critical line
    Bulletin of the London Mathematical Society, 43 (2011), no. 6, pp. 1119--1129.
  19. Central values of derivatives of Dirichlet L-functions, (with Hung M. Bui)
    International Journal of Number Theory 7 (2011), no. 2, pp. 371--388.
  20. A note on the gaps between consecutive zeros of the Riemann zeta-function, (with Hung M. Bui and Nathan Ng)
    Proceedings of the American Mathematical Society 138 (2010), no. 12, pp. 4167--4175.
  21. Upper bounds for moments of ζ'(ρ)
    Bulletin of the London Mathematical Society 42 (2010), no. 1, pp. 28--44.
  22. Mean-Value Estimates for the Derivative of the Riemann Zeta-Function
    PhD Thesis, University of Rochester, Rochester, NY USA, 2008.


     Andrew Booker, Hung M. Bui, Emanuel Carneiro, Vorrapan Chandee, Andres Chirre, Zhenchao Ge, Steven M. Gonek, Samyukta Krishnamurthy, Stephen J. Lester, Friedrich Littmann, Nathan Ng, Paul Pollack, Kannan Soundararajan, Caroline Turnage-Butterbaugh

Selected Honors & Awards:

Graduate Supervision:

  1. Michael Azlin, M.S., May 2011 (co-supervised with Nathan Jones).
    Current position: Instructor, University of Mississippi, Fall 2011 - present.
  2. Caroline Turnage-Butterbaugh, Ph.D. May 2014.
    GAANN fellow, Class Marshal, and a recipient of a Graduate Student Achievement Award.
    Currently: Elliott Research Assistant Professor, Duke University, Fall 2015 - present.
  3. Zhenchao Ge, M.S. Dec. 2015.
    Current position: Ph.D. student, University of Mississippi.
  4. Current students: Zhenchao Ge (Ph.D. in progress), Mashael Alsharif (M.S. in progress).

Upcoming/Recent Professional Activities:

  1. PANTS XXVIII, University of Tennessee, Sept. 2017.
  2. Automorphic Froms and Arithmetic Workshop, Oberwolfach, Sept. 2017.
  3. Analysis Seminar, University of Mississippi, May 4, 2017.
  4. Pi Mu Epsilon lecture, University of Mississippi, May 4, 2017.
  5. Visiting Researcher, Stanford University, March 2017.
  6. Number Theory and Representation Theory Seminar, University of Missouri, Jan. 19, 2017.
  7. Joint Mathematics Meetings, (invited talk) Atlanta, GA, Jan. 2017.
  8. Algebraic Geometry & Number Theory Seminar, Rice University, Dec. 6, 2016.
  9. Analytic Number Theory Workshop, (invited talk) Oberwolfach, Nov. 2016.
  10. AIM Workshop, "Moments of zeta and correlations of divisor sums," Sept. 2016.
  11. Visiting Researcher, Stanford University, April 2016.
  12. Number Theory Seminar, University of Manchester, March 10, 2016.
  13. Analysis Seminar, Cardiff University, March 4, 2016.
  14. Heilbronn Seminar, University of Bristol, March 2, 2016.
  15. Number Theory and Combinatorics Seminar, University of Lethbridge, Feb. 1, 2016.
  16. ICERM Workshop, "Computational Aspects of L-functions," Nov. 2015, Brown University.
  17. UNC-Duke Number Theory Seminar, Duke University, September 30, 2015.
  18. UIUC Number Theory Seminar, University of Illinois, September 10, 2015.
  19. International Conference in Number Theory and Physics, (invited talk) June 2015. IMPA, Rio de Janeiro, Brazil.
  20. Research in Teams at BIRS, May 24-31, 2015 (with Andrew Booker and Nathan Ng).
  21. Number Theory and Representation Theory Seminar, University of Missouri, March 10, 2015.
  22. AIM Workshop, "Bounded gaps between primes," November 2014, Palo Alto, CA.
  23. Bateman/Halberstam conference, University of Illinois, June 5-7, 2014.
  24. Heilbronn Seminar, May 21st, 2014. Bristol, UK.
  25. University of Georgia Number Theory Seminar, April 16th, 2014. Athens, GA.
  26. Ohio State Number Theory Seminar, February 17th, 2014. Columbus, OH.
  27. AMS/MAA Joint Math Meetings, Jan. 14th-18th, Baltimore, MD.
  28. Analysis Seminar, IMPA, August 29th, 2013. Rio de Janeiro, Brazil.
  29. Visiting Researcher, CRM, July 18th-23rd, 2013. Montreal, Quebec.
  30. Quebec-Vermont Number Theory Seminar, November 8th, 2012. Montreal, Quebec.
  31. Ohio State Number Theory Seminar, October 22nd, 2012. Columbus, OH.
In March 2013, I co-organized a special session on analytic number theory with Nathan Jones and Frank Thorne at an AMS sectional meeting in Oxford, MS. The details can be found here.

In January 2012, I co-organized a special session on multiplicative number theory with Leo Goldmakher, Jonathan Kish, and Paul Pollack at the AMS-MAA joint math meetings in Boston. The details can be found here.