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 (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
College
(F'15x2),
Math 263 - Calculus III (S'09,
S'10, S'11, S'14, F'14),
Math 263 - Calculus III, Honors
College
(F'10),
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
since S'09)
- Previous
teaching at the University of Rochester:
Math 142 - Calculus II (F'05),
Math 161 - Calculus IA (F'04)
Research:
My
Google
Scholar profile.
Accepted
Papers:
(published versions
may differ slightly)
- 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.
- 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.
- 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.
- Simple
zeros of
modular L-functions, (with Nathan Ng)
Proceedings of the London
Mathematical Society, 109 (2014), no. 6, 1465--1506.
- Lower
bounds for
moments
of ζ'(ρ), (with Nathan Ng)
International
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.
- 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.
- Bounding S(t)
and S_{1}(t)
on the Riemann
Hypothesis, (with Emanuel Carneiro and Vorrapan
Chandee)
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)
Proceedings of
the American Mathematical Society, 140 (2012), no. 12,
4097--4103.
- A note on
a conjecture of
Gonek, (with Nathan Ng)
Functiones et Approximatio,
Commentarii Mathematici, 46
(2012), no. 2, 177--187.
- 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.
- 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)
Proceedings
of
the American Mathematical Society 138 (2010), no. 12,
pp. 4167--4175.
- Upper bounds for
moments of ζ'(ρ),
Bulletin
of
the London Mathematical Society 42
(2010), no. 1, pp. 28--44.
- Mean-Value Estimates
for the Derivative of the Riemann Zeta-Function,
PhD
Thesis,
University of Rochester, Rochester, NY USA, 2008.
Preprints/In
Preparation:
- Large gaps between consecutive zeros of the Riemann zeta-function, (with Hung M.
Bui)
- Extreme values of S(t) in the
theory of the Riemann zeta-function, (with Hung M.
Bui and Maksym Radziwill)
In preparation.
- 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.)
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:
- NSA
Young Investigator Grant H98230-15-1-0231
(2015-2017)
- NSA
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
Research Grant:
Every summer
eligible -- Summer 2009, Summer 2010, Summer 2012
Graduate Supervision:
- Michael Azlin, M.S., May 2011
(co-supervised with Nathan Jones).
Current position:
Instructor, University of Mississippi, Fall 2011 - present.
- 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.
- Zhenchao Ge, M.S. Dec. 2015.
Current position: Ph.D. student, University
of Mississippi.
Upcoming/Recent Professional Activities:
- Analytic
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.
- Heilbronn
Seminar, University of Bristol, March 2, 2016.
- Number
Theory and Combinatorics Seminar, University of Lethbridge, Feb. 1,
2016.
- ICERM Workshop, "Computational
Aspects of L-functions," Nov. 2015, Brown University.
- UNC-Duke
Number Theory Seminar, Duke University, September 30, 2015.
- UIUC
Number Theory Seminar, University of Illinois, September 10, 2015.
- International
Conference in Number Theory and Physics, June 2015. IMPA, Rio
de Janeiro, Brazil.
- Research
in Teams at BIRS, May 24-31, 2015 (with Andrew Booker and Nathan Ng).
- Number
Theory and Representation Theory Seminar, University of Missouri,
March 10, 2015.
- AIM Workshop, "Bounded gaps
between primes," November 2014, Palo Alto, CA.
- Bateman/Halberstam
conference, University of Illinois, June 5-7, 2014.
- Heilbronn
Seminar, May 21st, 2014. Bristol, UK.
- University
of Georgia Number Theory Seminar, April 16th, 2014. Athens, GA.
- Ohio
State Number Theory Seminar, February 17th, 2014. Columbus, OH.
- AMS/MAA Joint Math Meetings, Jan. 14th-18th, Baltimore, MD.
- Analysis
Seminar, IMPA, August 29th, 2013. Rio de Janeiro, Brazil.
- Visiting Researcher, CRM, July 18th-23rd, 2013. Montreal, Quebec.
- Quebec-Vermont
Number Theory Seminar, November 8th, 2012. Montreal, Quebec.
- 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: