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 (Fall 2013):

Course Time Room
                                          TBD                 ---         ---
 Math 655 - Theory of Functions of a Complex Variable, I    TR, 11:00-12:15 pm     Hume 331 

Research:

My Google Scholar profile.

Accepted Papers: (published versions may be different)
  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, accepted for publication.
  9. A hybrid Euler-Hadamard product and moments of ζ'(ρ), (with Hung M. Bui and Steven M. Gonek)
    Forum Mathematicum, accepted for publication.
  10. Lower bounds for moments of ζ'(ρ), (with Nathan Ng)
    International Mathematics Research Notices (IMRN), accepted for publication.
Submitted papers: 
  1. Simple zeros of modular L-functions, (with Nathan Ng)
    Preprint available upon request.
  2. On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis, (with Hung M. Bui and Stephen J. Lester)
    Preprint available upon request.
Preprints/In Preparation: 
  1. Pair correlation of the zeros of the Riemann zeta-function, (with Emanuel Carneiro and Vorrapan Chandee)
    In preparation. 
  2. Extreme values of S(t) in the theory of the Riemann zeta-function, (with Hung M. Bui and Maksym Radziwill)
    In preparation. 
  3. 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.)

    4. 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, Nathan Ng, Maksym Radziwill

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.

Professional Activities:

  1. AMS Sectional Meeting, September 22nd-23rd, 2012. Rochester, NY.
  2. Ohio State Number Theory Seminar, October 22nd, 2012. Columbus, OH.
  3. Quebec-Vermont Number Theory Seminar, November 8th, 2012. Montreal, Quebec.
  4. AMS Sectional Meeting, March 1st-3rd, 2013. Oxford, MS. I am co-organizing a special session with Nathan Jones and Frank Thorne.
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: