Micah B. Milinovich

I am an assisstant professor in the Department of Mathematics at the University of Mississippi where I am a member of the Algebra & Number Theory research group. 

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.

Contact Information:

Teaching (Spring 2014):

Course Time Room
 Math 263 - Unified Calculus and Analytic Geometry, III
 TR, 9:30-10:45 am
  Hume 113
 Math 656 - Theory of Functions of a Complex Variable, II  
 TR, 11:00-12:15 pm     Hume 331 
 Math 597 - Reading Course in Number Theory



Research:

My Google Scholar profile.

Accepted Papers:
(published versions may differ slightly)
  1. Mean-Value Estimates for the Derivative of the Riemann Zeta-Function
    PhD Thesis, University of Rochester, Rochester, NY USA, 2008.
  2. Upper bounds for moments of ζ'(ρ)
    Bulletin of the London Mathematical Society 42 (2010), no. 1, pp. 28--44.
  3. 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.
  4. Central values of derivatives of Dirichlet L-functions, (with Hung M. Bui)
    International Journal of Number Theory 7 (2011), no. 2, pp. 371--388.
  5. 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.
  6. A note on a conjecture of Gonek(with Nathan Ng)
    Functiones et Approximatio, Commentarii Mathematici, 46 (2012), no. 2, 177--187.
  7. 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.
  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. 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.
  10. Moments of products of automorphic L-functions, (with Caroline Turnage-Butterbaugh)
    Journal of Number Theory, 139 (2014), 175--204.
  11.  A hybrid Euler-Hadamard product and moments of ζ'(ρ), (with Hung M. Bui and Steven M. Gonek)
    Forum Mathematicum, accepted for publication.
  12. Lower bounds for moments of ζ'(ρ), (with Nathan Ng)
    International Mathematics Research Notices (IMRN), accepted for publication.
 Under Review: 
  1. Simple zeros of modular L-functions, (with Nathan Ng)
    Submitted.
  2. Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function, (with E. Carneiro, V. Chandee and F. Littmann)
    Submitted.
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: (with hyperlinks)

      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 Students:

  1. Michael Azlin, M.S. May 2011 (co-supervised with Nathan Jones).
  2. Caroline Turnage-Butterbaugh, Ph.D. expected May 2014.

Upcoming/Recent Professional Activities:

  1. Bateman/Halberstam conference (??), University of Illinois, June 5-7, 2014.
  2. Heilbronn Seminar, May 21st, 2014. Bristol, UK.
  3. University of Georgia Number Theory Seminar, April 16th, 2014. Athens, GA.
  4. Ohio State Number Theory Seminar, February 17th, 2014. Columbus, OH.
  5. AMS/MAA Joint Math Meetings, Jan. 14th-18th, Baltimore, MD.
  6. Analysis Seminar, IMPA, August 29th, 2013. Rio de Janeiro, Brazil.
  7. Visiting Researcher, CRM, July 18th-23rd, 2013. Montreal, Quebec.
  8. Quebec-Vermont Number Theory Seminar, November 8th, 2012. Montreal, Quebec.
  9. 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: