Dr Steve Lester
Reader in Number Theory
Research interests
- Mathematics
Contact details
Biography
Steve Lester completed his PhD in 2013 under the guidance of Professor Steven Gonek at the University of Rochester. Before coming to King's in 2020, Steve held postdoctoral positions at Tel Aviv University, KTH Royal Institute of Technology, and Centre de Recherches Mathematique, and was a lecturer at Queen Mary University of London from 2017-2020.
Research Interests
- Analytic number theory
- L-functions
- Automorphic forms
- Connections between number theory and quantum chaos
Further Information
Poisson spacing statistics for lattice points on circles
Kurlberg, P. & Lester, S., May 2025, In: INVENTIONES MATHEMATICAE. 240, 2, p. 537-585 49 p., 107185.Research output: Contribution to journal › Article › peer-review
Around the Gauss circle problem: Hardy's conjecture and the distribution of lattice points near circles
Lester, S. & Wigman, I., 9 Jul 2024, (Accepted/In press) In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES.Research output: Contribution to journal › Article › peer-review
Mass equidistribution for Saito-Kurokawa lifts
Jaasaari, J., Lester, S. & Saha, A., 2 Jul 2024, (Accepted/In press) In: GEOMETRIC AND FUNCTIONAL ANALYSIS.Research output: Contribution to journal › Article › peer-review
Weighted central limit theorems for central values of L-functions
Bui, H., Evans, N., Lester, S. & Pratt, K., 11 Oct 2023, (Accepted/In press) In: Journal of the European Mathematical Society.Research output: Contribution to journal › Article › peer-review
Superscars for arithmetic point scatters II
Kurlberg, P., Lester, S. & Rosenzweig, L., 1 May 2023, In: Forum of Mathematics, Sigma. 11, e37.Research output: Contribution to journal › Article › peer-review
Quantum variance for dihedral Maass forms
Lester, S. & Huang, B., 18 Jul 2022, (Accepted/In press) In: Transactions of the American Mathematical Society.Research output: Contribution to journal › Article › peer-review
ON FUNDAMENTAL FOURIER COEFFICIENTS of SIEGEL CUSP FORMS of DEGREE 2
Jääsaari, J., Lester, S. & Saha, A., 2021, (Accepted/In press) In: Journal Of The Institute Of Mathematics Of Jussieu.Research output: Contribution to journal › Article › peer-review
On fundamental Fourier coefficients of Siegel cusp forms of degree 2
Jaasaari, J., Lester, S. & Saha, A., 17 Sept 2021, (Accepted/In press) In: Journal Of The Institute Of Mathematics Of Jussieu.Research output: Contribution to journal › Article › peer-review
A note on simple $ a$-points of $ L$-functions
Lester, S., Gonek, S. & Milinovich, M., 10 Apr 2012, In: Proceedings of the American Mathematical Society. 140, p. 4097--4103Research output: Contribution to journal › Article › peer-review
Mean values of ζ ' /ζ(s), correlations of zeros and the distribution of almost primes
Lester, S., Farmer, D., Gonek, S. & Lee, Y., 3 Jan 2013, In: QUARTERLY JOURNAL OF MATHEMATICS. 64, 4, p. 1057--1089Research output: Contribution to journal › Article › peer-review
The distribution of the logarithmic derivative of the Riemann zeta-function
Lester, S., 3 Feb 2014, In: QUARTERLY JOURNAL OF MATHEMATICS. 65, 4, p. 1319--1344Research output: Contribution to journal › Article › peer-review
On the distribution of the zeros of the derivative of the Riemann zeta-function
Lester, S., 29 Sept 2014, In: Mathematical Proceedings of the Cambridge Philosophical Society. 157, 3, p. 425--442Research output: Contribution to journal › Article › peer-review
a-Points of the Riemann Zeta-Function on the Critical Line
Lester, S., 1 Feb 2014, In: International Mathematics Research Notices. 2015, 9, p. 2406–2436 31 p.Research output: Contribution to journal › Article › peer-review
On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis
Lester, S., Milinovich, M. & Bui, H., 1 Jan 2014, In: Journal of Mathematical Analysis and Applications. 409, 1, p. 244-253 10 p.Research output: Contribution to journal › Article › peer-review
On the distribution of lattice points on hyperbolic circles
Chatzakos, D., Kurlberg, P., Lester, S. & Wigman, I., 28 Feb 2021, (Accepted/In press) In: Algebra and Number Theory. 23 p.Research output: Contribution to journal › Article › peer-review
On the distribution of the divisor function and Hecke eigenvalues
Lester, S. & Yesha, N., 7 Jan 2016, In: Israel Journal Of Mathematics. 2016, p. 443–472 212.Research output: Contribution to journal › Article › peer-review
On the variance of sums of divisor functions in short intervals
Lester, S., 17 Aug 2016, (E-pub ahead of print) In: Proceedings of the American Mathematical Society. 2016, p. 5015-5027 144.Research output: Contribution to journal › Article › peer-review
Small Scale Equidistribution of Eigenfunctions on the Torus
Lester, S. & Rudnick, Z., 9 Aug 2016, In: Communications in Mathematical Physics. 2017, p. 279–300 350.Research output: Contribution to journal › Article › peer-review
An effective universality theorem for the Riemann zeta function
Lamzouri, Y., Lester, S. & Radziwill, M., 20 Nov 2018, In: COMMENTARII MATHEMATICI HELVETICI. 93, 4, p. 709–736Research output: Contribution to journal › Article › peer-review
Small scale distribution of zeros and mass of modular forms
Lester, S. & Matomaki, K., 15 May 2018, (E-pub ahead of print) In: Journal of the European Mathematical Society. 20, 7, p. 1595–1627Research output: Contribution to journal › Article › peer-review
Discrepancy bounds for the distribution of the Riemann zeta-function and applications
Lamzouri, Y., Lester, S. & Radziwill, M., 5 Nov 2019, In: Journal D'Analyse Mathematique. 139, 2, p. 453–494Research output: Contribution to journal › Article › peer-review
Quantum unique ergodicity for half-integral weight automorphic forms
Lester, S. & Radziwill, M., 1 Feb 2020, In: Duke mathematical journal. 169, 2, p. 279 - 351Research output: Contribution to journal › Article › peer-review
Signs of Fourier coefficients of half-integral weight modular forms
Lester, S. & Radziwill, M., Apr 2021, In: Mathematische Annalen. 379, 3-4, p. 1553-1604 52 p.Research output: Contribution to journal › Article › peer-review
Research
Number Theory
King's has a strong tradition of research in number theory that continues to this day
Events
The London-Paris number theory seminar
The London-Paris number theory seminar meets twice per year, once in London and once in Paris.
Please note: this event has passed.
Poisson spacing statistics for lattice points on circles
Kurlberg, P. & Lester, S., May 2025, In: INVENTIONES MATHEMATICAE. 240, 2, p. 537-585 49 p., 107185.Research output: Contribution to journal › Article › peer-review
Around the Gauss circle problem: Hardy's conjecture and the distribution of lattice points near circles
Lester, S. & Wigman, I., 9 Jul 2024, (Accepted/In press) In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES.Research output: Contribution to journal › Article › peer-review
Mass equidistribution for Saito-Kurokawa lifts
Jaasaari, J., Lester, S. & Saha, A., 2 Jul 2024, (Accepted/In press) In: GEOMETRIC AND FUNCTIONAL ANALYSIS.Research output: Contribution to journal › Article › peer-review
Weighted central limit theorems for central values of L-functions
Bui, H., Evans, N., Lester, S. & Pratt, K., 11 Oct 2023, (Accepted/In press) In: Journal of the European Mathematical Society.Research output: Contribution to journal › Article › peer-review
Superscars for arithmetic point scatters II
Kurlberg, P., Lester, S. & Rosenzweig, L., 1 May 2023, In: Forum of Mathematics, Sigma. 11, e37.Research output: Contribution to journal › Article › peer-review
Quantum variance for dihedral Maass forms
Lester, S. & Huang, B., 18 Jul 2022, (Accepted/In press) In: Transactions of the American Mathematical Society.Research output: Contribution to journal › Article › peer-review
ON FUNDAMENTAL FOURIER COEFFICIENTS of SIEGEL CUSP FORMS of DEGREE 2
Jääsaari, J., Lester, S. & Saha, A., 2021, (Accepted/In press) In: Journal Of The Institute Of Mathematics Of Jussieu.Research output: Contribution to journal › Article › peer-review
On fundamental Fourier coefficients of Siegel cusp forms of degree 2
Jaasaari, J., Lester, S. & Saha, A., 17 Sept 2021, (Accepted/In press) In: Journal Of The Institute Of Mathematics Of Jussieu.Research output: Contribution to journal › Article › peer-review
A note on simple $ a$-points of $ L$-functions
Lester, S., Gonek, S. & Milinovich, M., 10 Apr 2012, In: Proceedings of the American Mathematical Society. 140, p. 4097--4103Research output: Contribution to journal › Article › peer-review
Mean values of ζ ' /ζ(s), correlations of zeros and the distribution of almost primes
Lester, S., Farmer, D., Gonek, S. & Lee, Y., 3 Jan 2013, In: QUARTERLY JOURNAL OF MATHEMATICS. 64, 4, p. 1057--1089Research output: Contribution to journal › Article › peer-review
The distribution of the logarithmic derivative of the Riemann zeta-function
Lester, S., 3 Feb 2014, In: QUARTERLY JOURNAL OF MATHEMATICS. 65, 4, p. 1319--1344Research output: Contribution to journal › Article › peer-review
On the distribution of the zeros of the derivative of the Riemann zeta-function
Lester, S., 29 Sept 2014, In: Mathematical Proceedings of the Cambridge Philosophical Society. 157, 3, p. 425--442Research output: Contribution to journal › Article › peer-review
a-Points of the Riemann Zeta-Function on the Critical Line
Lester, S., 1 Feb 2014, In: International Mathematics Research Notices. 2015, 9, p. 2406–2436 31 p.Research output: Contribution to journal › Article › peer-review
On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis
Lester, S., Milinovich, M. & Bui, H., 1 Jan 2014, In: Journal of Mathematical Analysis and Applications. 409, 1, p. 244-253 10 p.Research output: Contribution to journal › Article › peer-review
On the distribution of lattice points on hyperbolic circles
Chatzakos, D., Kurlberg, P., Lester, S. & Wigman, I., 28 Feb 2021, (Accepted/In press) In: Algebra and Number Theory. 23 p.Research output: Contribution to journal › Article › peer-review
On the distribution of the divisor function and Hecke eigenvalues
Lester, S. & Yesha, N., 7 Jan 2016, In: Israel Journal Of Mathematics. 2016, p. 443–472 212.Research output: Contribution to journal › Article › peer-review
On the variance of sums of divisor functions in short intervals
Lester, S., 17 Aug 2016, (E-pub ahead of print) In: Proceedings of the American Mathematical Society. 2016, p. 5015-5027 144.Research output: Contribution to journal › Article › peer-review
Small Scale Equidistribution of Eigenfunctions on the Torus
Lester, S. & Rudnick, Z., 9 Aug 2016, In: Communications in Mathematical Physics. 2017, p. 279–300 350.Research output: Contribution to journal › Article › peer-review
An effective universality theorem for the Riemann zeta function
Lamzouri, Y., Lester, S. & Radziwill, M., 20 Nov 2018, In: COMMENTARII MATHEMATICI HELVETICI. 93, 4, p. 709–736Research output: Contribution to journal › Article › peer-review
Small scale distribution of zeros and mass of modular forms
Lester, S. & Matomaki, K., 15 May 2018, (E-pub ahead of print) In: Journal of the European Mathematical Society. 20, 7, p. 1595–1627Research output: Contribution to journal › Article › peer-review
Discrepancy bounds for the distribution of the Riemann zeta-function and applications
Lamzouri, Y., Lester, S. & Radziwill, M., 5 Nov 2019, In: Journal D'Analyse Mathematique. 139, 2, p. 453–494Research output: Contribution to journal › Article › peer-review
Quantum unique ergodicity for half-integral weight automorphic forms
Lester, S. & Radziwill, M., 1 Feb 2020, In: Duke mathematical journal. 169, 2, p. 279 - 351Research output: Contribution to journal › Article › peer-review
Signs of Fourier coefficients of half-integral weight modular forms
Lester, S. & Radziwill, M., Apr 2021, In: Mathematische Annalen. 379, 3-4, p. 1553-1604 52 p.Research output: Contribution to journal › Article › peer-review
Research
Number Theory
King's has a strong tradition of research in number theory that continues to this day
Events
The London-Paris number theory seminar
The London-Paris number theory seminar meets twice per year, once in London and once in Paris.
Please note: this event has passed.