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
Gonek at the University
Here is my CV (last updated April 2015).
Teaching (Spring 2015):
- 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 261 - Calculus I, Honors
Math 263 - Calculus III (S'09,
S'10, S'11, S'14, F'14),
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, S'15),
Math 514 - Theory of Numbers, II (F'09),
Math 625 - Abstract Algebra, I (F'14),
Math 626 - Abstract Algebra, II (S'15),
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, S'14),
Math 597/697/797 - Reading courses in Number Theory (Continuously
teaching at the University of Rochester:
Math 142 - Calculus II (F'05),
Math 161 - Calculus IA (F'04)
may differ slightly)
spaces and the pair
of the Riemann zeta-function, (with E. Carneiro,
Chandee and F. Littmann)
Journal für die reine und
angewandte Mathematik (Crelle's
- A note on
the zeros of zeta and L-functions,
Emanuel Carneiro and Vorrapan
281 (2015), no. 1-2,
hybrid Euler-Hadamard product
of ζ'(ρ), (with Hung M. Bui and
Steven M. Gonek)
Forum Mathematicum, 27 (2015), no. 3, 1799--1828.
modular L-functions, (with Nathan Ng)
Proceedings of the London
Mathematical Society, 109 (2014), no. 6, 1465--1506.
of ζ'(ρ), (with Nathan Ng)
Mathematics Research Notices (IMRN), (2014), no. 12, 3190--3216.
- Moments of products of
automorphic L-functions, (with Caroline Turnage-Butterbaugh)
Journal of Number Theory, 139 (2014), 175--204.
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.
- Bounding S(t)
on the Riemann
Hypothesis, (with Emanuel Carneiro and Vorrapan
Mathematische Annalen, 356
(2013), no. 3, 939--968.
- 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,
- A note on
a conjecture of
Gonek, (with Nathan Ng)
Functiones et Approximatio,
Commentarii Mathematici, 46
(2012), no. 2, 177--187.
of the Riemann
zeta-function at its relative extrema on the critical line,
the London Mathematical Society, 43 (2011), no. 6,
- Central values of
derivatives of Dirichlet L-functions,
(with Hung M. Bui)
International Journal of
Number Theory 7
(2011), no. 2, pp. 371--388.
- 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,
- Upper bounds for
moments of ζ'(ρ),
the London Mathematical Society 42
(2010), no. 1, pp. 28--44.
- Mean-Value Estimates
for the Derivative of the Riemann Zeta-Function,
University of Rochester, Rochester, NY USA, 2008.
- Large gaps between consecutive zeros of the Riemann zeta-function, (with Hung M.
- 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 H98230-15-1-0231
Young Investigator Grant H98230-13-1-0217 (2013-2015)
- SEC Visiting Faculty Travel Grant (2014)
- AMS-Simons Travel Grant (2011-2013)
- MRC Collaboration Grant (with Maksym Radziwill).
Sponsored by AMS / NSF (2012-2013)
- 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).
Instructor, University of Mississippi, Fall 2011 - present.
Ph.D. May 2014.
Marshal, and a recipient of a Graduate Student
Research Assistant Professor, Duke University, Fall 2015 -
- Zhenchao Ge, M.S. Dec. 2015.
Current position: Ph.D. student, University
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.
Number Theory Workshop, Oberwolfach, Nov. 2016 (tentative).
- AIM Workshop, "Moments of zeta and correlations of divisor sums," Sept. 2016 (tentative).
- Number Theory Seminar,
University of Oregon, May 31, 2016.
- Visiting Researcher, Stanford University, April 2016 (tentative).
- Number Theory Seminar, University of Manchester, March 10, 2016.
- Analysis Seminar, Cardiff University, March 4, 2016.
Seminar, University of Bristol, March 2, 2016.
Theory and Combinatorics Seminar, University of Lethbridge, Feb. 1,
- ICERM Workshop, "Computational
Aspects of L-functions," Nov. 2015, Brown University.
Number Theory Seminar, Duke University, September 30, 2015.
Number Theory Seminar, University of Illinois, September 10, 2015.
Conference in Number Theory and Physics, June 2015. IMPA, Rio
de Janeiro, Brazil.
in Teams at BIRS, May 24-31, 2015 (with Andrew Booker and Nathan Ng).
Theory and Representation Theory Seminar, University of Missouri,
March 10, 2015.
- AIM Workshop, "Bounded gaps
between primes," November 2014, Palo Alto, CA.
conference, University of Illinois, June 5-7, 2014.
Seminar, May 21st, 2014. Bristol, UK.
of Georgia Number Theory Seminar, April 16th, 2014. Athens, GA.
State Number Theory Seminar, February 17th, 2014. Columbus, OH.
- 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.
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.