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 2015):

Course Time Room
  Math 261 - Calculus I, Honors College   MWF, 10:00 - 10:50 am
  Honors College 106
  Math 261 - Calculus I, Honors College     MWF, 1:00 - 1:50 pm             Hume 110
  Math 598 - Reading Course in Number Theory
     TTh, 8:30 - 9:30 am
          Hume 302
  Math 697 - Reading Course in Number Theory
    TTh, 9:30 - 10:30 am           Hume 302

Research:

My Google Scholar profile.

Accepted Papers:
(published versions may differ slightly)
  1. 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), accepted for publication.
  2. 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.
  3. 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.
  4. Simple zeros of modular L-functions, (with Nathan Ng)
    Proceedings of the London Mathematical Society, 109 (2014), no. 6, 1465--1506.
  5. Lower bounds for moments of ζ'(ρ), (with Nathan Ng)
    International Mathematics Research Notices (IMRN), (2014), no. 12, 3190--3216.
  6. Moments of products of automorphic L-functions, (with Caroline Turnage-Butterbaugh)
    Journal of Number Theory, 139 (2014), 175--204.
  7. 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.
  8. Bounding S(t) and S1(t) on the Riemann Hypothesis, (with Emanuel Carneiro and Vorrapan Chandee)
    Mathematische Annalen, 356 (2013), no. 3, 939--968.
  9. 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.
  10. A note on a conjecture of Gonek(with Nathan Ng)
    Functiones et Approximatio, Commentarii Mathematici, 46 (2012), no. 2, 177--187.
  11. 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.
  12. Central values of derivatives of Dirichlet L-functions, (with Hung M. Bui)
    International Journal of Number Theory 7 (2011), no. 2, pp. 371--388.
  13. 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.
  14. Upper bounds for moments of ζ'(ρ)
    Bulletin of the London Mathematical Society 42 (2010), no. 1, pp. 28--44.
  15. Mean-Value Estimates for the Derivative of the Riemann Zeta-Function
    PhD Thesis, University of Rochester, Rochester, NY USA, 2008.
Preprints/In Preparation: 
  1. Extreme values of S(t) in the theory of the Riemann zeta-function, (with Hung M. Bui and Maksym Radziwill)
    In preparation. 
  2. Moments of the Riemann zeta-function and its derivatives, preprint available upon request.
    (This manuscript computes the lower order terms in the second moment of ζ'(ρ) as announced
    in section 7.1 of  Conrey & Snaith's "Applications of the L-functions ratios conjectures," link.)

  3. Some of my preprints are available on the arXiv. The versions that appear there may not be up to date.

Collaborators:

     Andrew Booker, Hung M. Bui, Emanuel Carneiro, Vorrapan Chandee, Steven M. Gonek, Stephen J. Lester, Friedrich Littmann, Nathan Ng, Maksym Radziwill, Caroline Turnage-Butterbaugh

Selected Honors & Awards:

Graduate Supervision:

  1. Michael Azlin, M.S., May 2011 (co-supervised with Nathan Jones).
    First 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. expected Dec. 2015.

Upcoming/Recent Professional Activities:

  1. ICERM Workshop, "Computational Aspects of L-functions," Nov. 2015, Brown University.
  2. UNC-Duke Number Theory Seminar, Duke University, September 30, 2015.
  3. UIUC Number Theory Seminar, University of Illinois, September 10, 2015.
  4. International Conference in Number Theory and Physics, June 2015. IMPA, Rio de Janeiro, Brazil.
  5. Research in Teams at BIRS, May 24-31, 2015 (with Andrew Booker and Nathan Ng).
  6. Number Theory and Representation Theory Seminar, University of Missouri, March 10, 2015.
  7. AIM Workshop, "Bounded gaps between primes," November 2014, Palo Alto, CA.
  8. Bateman/Halberstam conference, University of Illinois, June 5-7, 2014.
  9. Heilbronn Seminar, May 21st, 2014. Bristol, UK.
  10. University of Georgia Number Theory Seminar, April 16th, 2014. Athens, GA.
  11. Ohio State Number Theory Seminar, February 17th, 2014. Columbus, OH.
  12. AMS/MAA Joint Math Meetings, Jan. 14th-18th, Baltimore, MD.
  13. Analysis Seminar, IMPA, August 29th, 2013. Rio de Janeiro, Brazil.
  14. Visiting Researcher, CRM, July 18th-23rd, 2013. Montreal, Quebec.
  15. Quebec-Vermont Number Theory Seminar, November 8th, 2012. Montreal, Quebec.
  16. 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.

Miscellany: