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: 11:00am--12:15pm
     Hume 111
      
    
    

Research:

My Google Scholar profile.

Papers:
(published versions may differ slightly)
  1. Hilbert spaces and low-lying zeros of L-functions, (with E. Carneiro and A. Chirre)
    Submitted.
  2. 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), to appear.
  3. A weighted version of the Erdős-Kac theorem (with R. Khan and U. Subedi)
    Journal of Number Theory, to appear.
  4. Hilbert transforms and the equidistribution of zeros of polynomials,
    (
    with E. Carneiro, M. Das, A. Florea, A. Kumchev, A. Malik, C. Turnage-Butterbaugh, and J. Wang)
    Journal of Functional Analysis, 281 (2021), no. 9, Paper No. 109199.
  5. Motohashi's fourth moment identity for non-archimedian test functions and applications, (with V. Blomer, P. Humphries, and R. Khan)
    Compositio Mathematica, 156 (2020) 1004--1038
  6. Fourier optimization and prime gaps, (with E. Carneiro and K. Soundararajan)
    Commentarii Mathematici Helvetici, 94 (2019), no. 3, 533--568.
  7. Bandlimited approximations and estimates for the Riemann zeta-function, (with E. Carneiro and A. Chirre)
    Publicacions Matemàtiques, 63 (2019), no. 2, 601--661.
  8. Euler's formula for the zeta function at the positive even integers, (with S. Krishnamurthy)
    Involve, 12 (2019), no. 4, 541--548.
  9. 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. 1-2, 183--192.
  10. Quantitative estimates for simple zeros of L-functions, (with A. Booker and N. Ng)
    Mathematika, 65 (2019), no. 2, 375--399.
  11. Subconvexity for modular form L-functions in the t aspect, (with A. Booker and N. Ng)
    Advances in Mathematics, 341 (2019), 299--335.
  12. Gaps between zeros of the Riemann zeta-function, (with Hung M. Bui)
    Quarterly Journal of Mathematics, 69 (2018), no. 2, 403--423.
  13. 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.
  14. 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.
  15. 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.
  16. Simple zeros of modular L-functions, (with Nathan Ng)
    Proceedings of the London Mathematical Society, 109 (2014), no. 6, 1465--1506.
  17. Lower bounds for moments of ζ'(ρ), (with Nathan Ng)
    International Mathematics Research Notices (IMRN), (2014), no. 12, 3190--3216.
  18. Moments of products of automorphic L-functions, (with Caroline Turnage-Butterbaugh)
    Journal of Number Theory, 139 (2014), 175--204.
  19. 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.
  20. Bounding S(t) and S1(t) on the Riemann Hypothesis, (with Emanuel Carneiro and Vorrapan Chandee)
    Mathematische Annalen, 356 (2013), no. 3, 939--968.
  21. 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.
  22. A note on a conjecture of Gonek(with Nathan Ng)
    Functiones et Approximatio, Commentarii Mathematici, 46 (2012), no. 2, 177--187.
  23. Moments of the Riemann zeta-function at its relative extrema on the critical line
    Bulletin of the London Mathematical Society, 43 (2011), no. 6, 1119--1129.
  24. Central values of derivatives of Dirichlet L-functions, (with Hung M. Bui)
    International Journal of Number Theory 7 (2011), no. 2, 371--388.
  25. 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, 4167--4175.
  26. Upper bounds for moments of ζ'(ρ)
    Bulletin of the London Mathematical Society 42 (2010), no. 1, 28--44.
  27. Mean-Value Estimates for the Derivative of the Riemann Zeta-Function
    PhD Thesis, University of Rochester, Rochester, NY USA, 2008.
Conference proceedings:
  1. Subconvexity and simple zeros of modular form L-functions,
    Oberwolfach Reports, 14 (2017), no. 3, 2507--2509.
  2. Linear relations of zeros of the zeta function,
    Oberwolfach Reports, 13 (2016), no. 3, 3013--3014.

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 Turnage-Butterbaugh

Selected Honors & Awards:

Graduate Supervision:

  1. Michael Azlin, M.S., May 2011 (co-supervised with Nathan Jones).
    Current position: Instructor, University of Mississippi, Fall 2011 - present.
  2. 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.
  3. Zhenchao Ge, M.S., Dec. 2015.
    Current position: Ph.D. student, University of Mississippi.
  4. Andrés Chirre, visiting Ph.D. student, Instituto de Matemática Pura e Aplicada (IMPA), Fall 2018.
  5. Mashael Alsharif, M.S., Dec. 2018.
  6. Zhenchao Ge, Ph.D., May 2020, (co-supervised with Thái Hoàng Lê).
    Current position: Postdoc, ShanghaiTech University, Fall 2020 - present.
  7. Moriah Gibson, Ph.D., Dec 2022.
    Current position: Pending.
  8. Jaime Hernández Palacios, Ph.D., May 2024, anticipated.

Upcoming/Recent Professional Activities: (out of date)

  1. Colloquium, University of Florida, March 2020. 
  2. Number Theory Seminar, University of Florida, March 2020.
  3. Analytic Number Theory Workshop, Oberwolfach, Nov. 2019.
  4. Mathematical Colloquium and Invited Researcher, ICTP, Trieste, Italy, June 2019.
  5. Visiting Researcher, Stanford University, May 2019.
  6. Number Theory Seminar, UNSW Canberra, Jan. 2019.
  7. Number Theory Seminar, UNSW Sydney, Jan. 2019.
  8. Visiting Researcher, University of New South Wales, Sydney, Australia, Jan. 2019.
  9. AIM Workshop, "Sarnak's Conjecture," Dec. 2018.
  10. Number Theory Seminar, University of Illinois, Nov. 29th, 2018.
  11. Graduate Student Number Theory Seminar, University of Illinois, Nov. 29th, 2018
  12.  Number Theory Seminar, University of Manchester, June 14th, 2018.
  13.  Visiting Researcher, Queen Mary University of London, June 2018.
  14.  Number Theory Seminar, University of Warwick, June 8th, 2018.
  15.  Perspectives on the Riemann Hypothesis, University of Bristol, June 4-7, 2018.
  16.  International Conference on Mathematics and Statistics (ICOMAS 2018), University of Memphis,  May 7–10, 2018.
  17.  Number Theory Seminar, University of Georgia, Jan. 17th, 2018.
  18.  PANTS XXVIII, University of Tennessee, Sept. 2017.
  19.  Automorphic Froms and Arithmetic Workshop, Oberwolfach, Sept. 2017.
  20.  Analysis Seminar, University of Mississippi, May 4, 2017.
  21. Pi Mu Epsilon lecture, University of Mississippi, May 4, 2017.
  22. Visiting Researcher, Stanford University, March 2017.
  23. Number Theory and Representation Theory Seminar, University of Missouri, Jan. 19, 2017.
  24. Joint Mathematics Meetings, (invited talk) Atlanta, GA, Jan. 2017.
  25. Algebraic Geometry & Number Theory Seminar, Rice University, Dec. 6, 2016.
  26. Analytic Number Theory Workshop, (invited talk) Oberwolfach, Nov. 2016.
  27. AIM Workshop, "Moments of zeta and correlations of divisor sums," Sept. 2016.
  28. Visiting Researcher, Stanford University, April 2016.
  29. Number Theory Seminar, University of Manchester, March 10, 2016.
  30. Analysis Seminar, Cardiff University, March 4, 2016.
  31. Heilbronn Seminar, University of Bristol, March 2, 2016.
  32. Number Theory and Combinatorics Seminar, University of Lethbridge, Feb. 1, 2016.
  33. ICERM Workshop, "Computational Aspects of L-functions," Nov. 2015, Brown University.
  34. UNC-Duke Number Theory Seminar, Duke University, September 30, 2015.
  35. UIUC Number Theory Seminar, University of Illinois, September 10, 2015.
  36. International Conference in Number Theory and Physics, (invited talk) June 2015. IMPA, Rio de Janeiro, Brazil.
  37. Research in Teams at BIRS, May 24-31, 2015 (with Andrew Booker and Nathan Ng).
  38. Number Theory and Representation Theory Seminar, University of Missouri, March 10, 2015.
  39. AIM Workshop, "Bounded gaps between primes," November 2014, Palo Alto, CA.
  40. Bateman/Halberstam conference, University of Illinois, June 5-7, 2014.
  41. Heilbronn Seminar, May 21st, 2014. Bristol, UK.
  42. University of Georgia Number Theory Seminar, April 16th, 2014. Athens, GA.
  43. Ohio State Number Theory Seminar, February 17th, 2014. Columbus, OH.
  44. AMS/MAA Joint Math Meetings, Jan. 14th-18th, Baltimore, MD.
  45. Analysis Seminar, IMPA, August 29th, 2013. Rio de Janeiro, Brazil.
  46. Visiting Researcher, CRM, July 18th-23rd, 2013. Montreal, Quebec.
  47. Quebec-Vermont Number Theory Seminar, November 8th, 2012. Montreal, Quebec.
  48. Ohio State Number Theory Seminar, October 22nd, 2012. Columbus, OH.
In May 2019, I was the PI and co-organizer for the NSF-CBMS Conference: L-functions 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 co-organized 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 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: