Micah B. Milinovich
I am a 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 2021):
Course 
Time 
Room 
Math 353 (Differential
Equations)

TTh: 11:00am12:15pm

Hume 111




Research:
My
Google
Scholar profile.
Papers:
(published versions
may differ slightly)
 Small gaps and small spacings between zeta
zeros, (with H. M. Bui, D.
A. Goldston, and H. L. Montgomery)
Submitted.
 Hilbert
spaces and lowlying zeros of Lfunctions,
(with E. Carneiro and A.
Chirre)
Submitted.
 On the number variance of zeta zeros and a
conjecture of Berry, (with M.
Lugar and E. QuesadaHerrera)
Submitted.
 On
Montgomery's pair correlation conjecture: a tale of three integrals,
(with E. Carneiro, V. Chandee,
and A.
Chirre)
Journal für die reine und
angewandte Mathematik (Crelle's
Journal), 786 (2022)
205243.
 A
weighted version of the ErdősKac theorem (with
R. Khan and U. Subedi)
Journal of Number Theory, 239 (2022) 120.
 Hilbert
transforms and the equidistribution of zeros of polynomials,
(with E. Carneiro, M. Das, A. Florea,
A. Kumchev, A. Malik, C. TurnageButterbaugh, and J. Wang)
Journal of Functional Analysis, 281 (2021), no. 9, Paper No. 109199.
 Motohashi's
fourth moment identity for nonarchimedian test functions and
applications, (with
V. Blomer, P. Humphries, and R. Khan)
Compositio Mathematica, 156 (2020) 10041038.
 Fourier
optimization and prime gaps, (with E. Carneiro and
K. Soundararajan)
Commentarii Mathematici Helvetici,
94 (2019), no. 3, 533568.
 Bandlimited
approximations and
estimates for the
Riemann zetafunction, (with E. Carneiro and A.
Chirre)
Publicacions Matemàtiques,
63 (2019), no. 2, 601661.
 Euler's
formula for the zeta function
at the positive even integers, (with S.
Krishnamurthy)
Involve, 12 (2019), no. 4, 541548.
 A
note on the least prime that splits completely in a nonabelain Galois
number field, (with Z. Ge and P. Pollack)
Mathematische Zeitschrift,
292 (2019), no. 12,
183192.
 Quantitative
estimates for simple zeros of Lfunctions,
(with
A. Booker and N. Ng)
Mathematika, 65 (2019), no. 2, 375399.
 Subconvexity
for modular form Lfunctions
in the t aspect, (with
A. Booker and N. Ng)
Advances in Mathematics, 341 (2019), 299335.
 Gaps
between zeros of the
Riemann zetafunction, (with Hung M. Bui)
Quarterly Journal of Mathematics, 69
(2018), no. 2, 403423.
 Hilbert
spaces and the pair
correlation of
zeros
of the Riemann zetafunction, (with E. Carneiro,
V.
Chandee and F. Littmann)
Journal für die reine und
angewandte Mathematik (Crelle's
Journal), 725 (2017),
143182.
 A note on
the zeros of zeta and Lfunctions,
(with
Emanuel Carneiro and Vorrapan
Chandee)
Mathematische Zeitschrift,
281 (2015), no. 12,
315332.
 A
hybrid EulerHadamard product
and moments
of ζ'(ρ), (with Hung M. Bui and
Steven M. Gonek)
Forum Mathematicum, 27 (2015), no. 3, 17991828.
 Simple
zeros of
modular Lfunctions, (with Nathan Ng)
Proceedings of the London
Mathematical Society, 109 (2014), no. 6, 14651506.
 Lower
bounds for
moments
of ζ'(ρ), (with Nathan Ng)
International
Mathematics Research Notices (IMRN), (2014), no. 12, 31903216.
 Moments of products of
automorphic Lfunctions, (with Caroline TurnageButterbaugh)
Journal of Number Theory, 139 (2014), 175204.
 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, 244253.
 Bounding S(t)
and S_{1}(t)
on the Riemann
Hypothesis, (with Emanuel Carneiro and Vorrapan
Chandee)
Mathematische Annalen, 356
(2013), no. 3, 939968.
 A note on simple apoints
of Lfunctions, (with Steven M.
Gonek and Stephen J. Lester)
Proceedings of
the American Mathematical Society, 140 (2012), no. 12,
40974103.
 A note on
a conjecture of
Gonek, (with Nathan Ng)
Functiones et Approximatio,
Commentarii Mathematici, 46
(2012), no. 2, 177187.
 Moments
of the Riemann
zetafunction at its relative extrema on the critical line,
Bulletin of
the London Mathematical Society, 43 (2011), no. 6, 11191129.
 Central values of
derivatives of Dirichlet Lfunctions,
(with Hung M. Bui)
International Journal of
Number Theory 7
(2011), no. 2, 371388.
 A note on the gaps between
consecutive zeros of the Riemann zetafunction, (with
Hung M. Bui and Nathan Ng)
Proceedings
of
the American Mathematical Society 138 (2010), no. 12,
41674175.
 Upper bounds for
moments of ζ'(ρ),
Bulletin
of
the London Mathematical Society 42
(2010), no. 1, 2844.
 MeanValue Estimates
for the Derivative of the Riemann ZetaFunction,
PhD
Thesis,
University of Rochester, Rochester, NY USA, 2008.
Conference
proceedings:
 Subconvexity
and simple zeros of modular form Lfunctions,
Oberwolfach Reports, 14 (2017), no. 3, 25072509.
 Linear
relations of zeros of the zeta function,
Oberwolfach Reports, 13 (2016),
no. 3, 30133014.
Collaborators:
Valentin
Blomer, Andrew
Booker, Hung
M.
Bui, Emanuel
Carneiro, Vorrapan
Chandee, Andres
Chirre, Zhenchao
Ge, Steven
M. Gonek, Peter
Humphries, Rizwanur
Khan, Samyukta
Krishnamurthy, Stephen
J. Lester, Friedrich
Littmann, Nathan Ng,
Paul Pollack, Kannan
Soundararajan, Caroline
TurnageButterbaugh
Selected Honors & Awards:
 NSF
DMS2101912 Standard Grant, (20212024).
 Simons Foundation Collaboration Grant for Mathematicians #712898
(20202025).
 NSFCBMS
Conference grant: Lfunctions and Multiplicative
Number Theory (PI
& Organizer), May 2019.
 NSA
Young Investigator Grant H982301610311
(20162018)
 US Junior Oberwolfach Fellow, sponsored by NSF (Sept. 2017)
 SEC Faculty Travel Grant (20162017)
 US Junior Oberwolfach Fellow, sponsored by NSF (Nov. 2016)
 BIRS
Research in Teams 15rit201 (2015).
 NSA
Young Investigator Grant H982301510231
(20152017)
 NSA
Young Investigator Grant H982301310217 (20132015)
 SEC Faculty Travel Grant (20132014)
 AMSSimons Travel Grant (20112013)
 MRC Collaboration Grant (with Maksym Radziwill),
sponsored by AMS / NSF (20122013)
 University of Mississippi College of Liberal Arts Summer
Research Grant:
Every summer
eligible  Summer 2009, 2010, 2012, 2017 & 2018.
Graduate Supervision:
 Michael Azlin, M.S., May 2011
(cosupervised with Nathan Jones).
Current position:
Instructor, University of Mississippi, Fall 2011  present.
 Caroline
TurnageButterbaugh,
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.
 Andrés Chirre, visiting
Ph.D. student, Instituto de Matemática Pura e Aplicada (IMPA), Fall
2018.
 Mashael Alsharif, M.S., Dec. 2018.
 Zhenchao Ge,
Ph.D., May 2020, (cosupervised
with Thái Hoàng Lê).
Current position: Postdoc,
ShanghaiTech University, Fall 2020  present.
 Moriah Gibson, Ph.D., Dec 2022.
Current position: Pending.
 Jaime Hernández Palacios, Ph.D., May 2024, anticipated.
Upcoming/Recent Professional Activities: (out of date)
 Colloquium, University of Florida, March 2020.
 Number Theory Seminar, University of Florida, March 2020.
 Analytic
Number Theory Workshop, Oberwolfach, Nov. 2019.
 Mathematical Colloquium and Invited Researcher, ICTP, Trieste,
Italy, June 2019.
 Visiting Researcher, Stanford University, May 2019.
 Number Theory Seminar, UNSW Canberra, Jan. 2019.
 Number Theory Seminar, UNSW Sydney, Jan. 2019.
 Visiting Researcher, University of New South Wales, Sydney,
Australia, Jan. 2019.
 AIM Workshop, "Sarnak's
Conjecture," Dec. 2018.
 Number
Theory Seminar, University of Illinois, Nov. 29th, 2018.
 Graduate Student Number Theory Seminar, University of Illinois,
Nov. 29th, 2018
 Number
Theory Seminar, University of Manchester, June 14th, 2018.
 Visiting Researcher, Queen Mary University of London, June
2018.
 Number
Theory Seminar, University of Warwick, June 8th, 2018.
 Perspectives
on the Riemann Hypothesis, University of Bristol, June 47, 2018.
 International Conference on Mathematics and Statistics (ICOMAS 2018),
University of Memphis, May 7–10, 2018.
 Number
Theory Seminar, University of Georgia, Jan. 17th, 2018.
 PANTS XXVIII,
University of Tennessee, Sept. 2017.
 Automorphic
Froms and Arithmetic Workshop, Oberwolfach, Sept. 2017.
 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 Lfunctions," Nov. 2015, Brown University.
 UNCDuke
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 2431, 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 57, 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. 14th18th, Baltimore, MD.
 Analysis
Seminar, IMPA, August 29th, 2013. Rio de Janeiro, Brazil.
 Visiting Researcher, CRM, July 18th23rd, 2013. Montreal, Quebec.
 QuebecVermont
Number Theory Seminar, November 8th, 2012. Montreal, Quebec.
 Ohio
State Number Theory Seminar, October 22nd, 2012. Columbus, OH.
In May 2019, I was the PI and coorganizer for the NSFCBMS Conference:
Lfunctions and
Multiplicative Number
Theory at the University of of Mississippi. This conferences
featured a series of ten lecture by Professor K. Soundararajan from
Stanford University.
In May 2018, I coorganized a special session on Analytic Number Theory
with Tsz Ho Chan
and Thái Hoàng Lê
at ICOMAS 2018 in Memphis, TN. The details can
be found here.
In March 2013, I coorganized 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 coorganized a special session on Multiplicative
Number Theory with Leo
Goldmakher,
Jonathan
Kish, and Paul
Pollack at the AMSMAA joint math meetings in Boston. The
details can be found here.
Miscellany: