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 (Fall 2018):
- 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,
F'16),
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, F'16)
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.
Papers:
(published versions
may differ slightly)
- Fourier optimization and prime gaps,
(with E. Carneiro and K. Soundararajan)
preprint.
- Subconvexity
for modular form L-functions in the t aspect, (with
A. Booker and N. Ng)
submitted for publication.
- Euler's formula for the zeta function
at the positive even integers, (with S.
Krishnamurthy)
submitted for publication.
- A
note on the least prime that splits completely in a nonabelain Galois
number field, (with Z. Ge and P. Pollack)
submitted for publication.
- Gaps between zeros of the
Riemann zeta-function, (with Hung M. Bui)
submitted for publication.
- Bandlimited approximations and
estimates for the
Riemann zeta-function, (with E. Carneiro and A.
Chirre)
submitted for publication.
- Linear
relations of zeros of the zeta function,
Oberwolfach Reports, no.
53, to appear.
- 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), 725 (2017), 143--182.
- 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.
Collaborators:
Andrew
Booker, Hung
M.
Bui, Emanuel
Carneiro, Vorrapan
Chandee, Andres
Chirre, Zhenchao
Ge, Steven
M. Gonek, Samyukta Krishnamurthy, Stephen
J. Lester, Friedrich
Littmann, Nathan Ng, Paul Pollack, Kannan
Soundararajan, Caroline
Turnage-Butterbaugh
Selected Honors & Awards:
- NSA
Young Investigator Grant H98230-16-1-0311
(2017-2019)
- US Junior Oberwolfach Fellow, sponsored by NSF (Sept. 2017)
- SEC Faculty Travel Grant (2016-2017)
- US Junior Oberwolfach Fellow, sponsored by NSF (Nov. 2016)
- NSA
Young Investigator Grant H98230-15-1-0231
(2015-2017)
- NSA
Young Investigator Grant H98230-13-1-0217 (2013-2015)
- SEC Faculty Travel Grant (2013-2014)
- 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:
- Automorphic
Froms and Arithmetic Workshop, Oberwolfach, Sept. 2017 (tentative).
- Analysis Seminar, University of Mississippi, May 4, 2017.
- Pi Mu Epsilon lecture, University of Mississippi, May 4, 2017.
- Visiting Researcher, Stanford University, March 2017.
- Number
Theory and Representation Theory Seminar, University of Missouri,
Jan. 19, 2017.
- Joint
Mathematics Meetings, (invited talk) Atlanta, GA, Jan. 2017.
- Algebraic
Geometry & Number Theory Seminar, Rice University, Dec. 6, 2016.
- Analytic
Number Theory Workshop, (invited talk) Oberwolfach, Nov. 2016.
- AIM Workshop, "Moments of
zeta and correlations of divisor sums," Sept. 2016.
- Visiting Researcher, Stanford University, April 2016.
- 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, (invited talk) 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: