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
In May 2008, I completed a Ph.D.
under the supervision of Professor Steven
Gonek at the University
Here is my CV.
Teaching (Spring 2014):
| Math 263 - Unified Calculus and Analytic Geometry, III
| Math 656 - Theory of Functions of a Complex
| TR, 11:00-12:15 pm
|| Hume 331
| Math 597 - Reading Course in Number Theory
- Course information is posted on Blackboard.
Previous teaching at
the University of Mississippi:
Math 261 - Calculus, I (F'08, F'09, F'10, F'13),
Math 263 - Calculus, III (S'09, S'10, S'11),
Math 263 - Calculus, III, Honors
Math 459 - Introduction to Complex Analysis (F'11, F'12)
Math 513 - Theory of Numbers, I (S'09, S'10, S'11, S'12, S'13),
Math 514 - Theory of Numbers, II (F'09),
Math 655 - Theory of Functions of a Complex
Variable, I (F'11, F'12, F'13),
Math 656 - Theory of Functions of a Complex
Variable, II (S'12, S'13)
teaching at the University of Rochester:
Math 142 - Calculus, II (F'05),
Math 161 - Calculus, IA (F'04)
may differ slightly)
- Mean-Value Estimates
for the Derivative of the Riemann Zeta-Function,
University of Rochester, Rochester, NY USA, 2008.
- Upper bounds for
moments of ζ'(ρ),
the London Mathematical Society 42
(2010), no. 1, pp. 28--44.
- A note on the gaps between
consecutive zeros of the Riemann zeta-function, (with
Hung M. Bui and Nathan Ng)
the American Mathematical Society 138 (2010), no. 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.
of the Riemann
zeta-function at its relative extrema on the critical line,
the London Mathematical Society, 43 (2011), no. 6,
- A note on
a conjecture of
Gonek, (with Nathan Ng)
Functiones et Approximatio,
Commentarii Mathematici, 46
(2012), no. 2, 177--187.
- A note on simple a-points
of L-functions, (with Steven M.
Gonek and Stephen J. Lester)
the American Mathematical Society, 140 (2012), no. 12,
- Bounding S(t)
on the Riemann
Hypothesis, (with Emanuel Carneiro and Vorrapan
Mathematische Annalen, 356
(2013), no. 3, 939--968.
Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis, (with Hung M. Bui and Stephen J.
Mathematical Analysis and Applications, 409 (2014), no. 1, 244--253.
hybrid Euler-Hadamard product
of ζ'(ρ), (with Hung M. Bui and
Steven M. Gonek)
Forum Mathematicum, accepted
of ζ'(ρ), (with Nathan Ng)
Mathematics Research Notices (IMRN), accepted
- Moments of products of
automorphic L-functions, (with Caroline Turnage-Butterbaugh)
Journal of Number Theory, accepted
modular L-functions, (with Nathan Ng)
- Hilbert spaces and the pair correlation of
of the Riemann zeta-function, (with E. Carneiro,
Chandee and F. Littmann)
- Extreme values of S(t) in the
theory of the Riemann zeta-function, (with Hung M.
Bui and Maksym Radziwill)
- 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
ratios conjectures," link.)
Some of my preprints are available on the arXiv.
The versions that appear there may not be up to date.
M. Gonek, Stephen
J. Lester, Friedrich
Selected Honors & Awards:
Young Investigator Grant H98230-13-1-0217 (2013-2015)
- MRC Collaboration Grant (with Maksym Radziwill).
Sponsored by AMS / NSF (2012-2013)
- AMS-Simons Travel Grant (2011-2013)
- University of Mississippi College of Liberal Arts Summer
eligible -- Summer 2009, Summer 2010, Summer 2012
- Michael Azlin, M.S. May 2011
(co-supervised with Nathan Jones).
Ph.D. expected May 2014.
Upcoming/Recent Professional Activities:
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.
- University of Georgia Number Theory Seminar, April 16th, 2014. Athens, GA.
- AMS/MAA Joint Math Meetings, Jan. 14th-18th, Baltimore, MD.
Seminar, IMPA, August 29th, 2013. Rio de Janeiro, Brazil.
- Visiting Researcher, CRM, July 18th-23rd, 2013. Montreal, Quebec.
Number Theory Seminar, November 8th, 2012. Montreal, Quebec.
State Number Theory Seminar, October 22nd, 2012. Columbus, OH.
Sectional Meeting, September 22nd-23rd, 2012. Rochester, NY.
In January 2012, I co-organized a special session on multiplicative
number theory with Leo
Kish, and Paul
Pollack at the AMS-MAA joint math meetings in Boston. The
details can be found here.