Professor Igor Wigman
Professor of Number Theory
Research interests
- Mathematics
Biography
Igor Wigman did his PhD in Tel-Aviv University in Number Theory under the direction of Professor Zeev Rudnick.
After concluding the PhD studies in 2006, he was a postdoctoral fellow in CRM Montreal in 2006-2009 and KTH Stockholm in 2009-2010 until he was appointed as a Lecturer in Pure Mathematics in the Cardiff University, where he was based 2010-2012.
In September 2012 he joined King's College London as a Lecturer in Number Theory, and was promoted to Reader in September 2014 followed by a promotion to Professor in 2018.
Research Interests
- Analytic number theory including the geometry of numbers, counting problems, equidistribution.
- Probability and stochastic processes.
- Applications in mathematical physics, especially quantum chaos and spectral geometry. Nodal lines and zeros of random fields, especially various models of random waves.
Further Information
The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration
Wigman, I. & Muirhead, S., 19 Feb 2025, (Accepted/In press) In: PROBABILITY THEORY AND RELATED FIELDS.Research output: Contribution to journal › Article › peer-review
Eigenvalue clusters for the hemisphere Laplacian with variable Robin condition
Pushnitski, A. & Wigman, I., 5 Aug 2024, (Accepted/In press) In: Probability and Mathematical Physics.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
The expected nodal volume of non-Gaussian random band-limited functions, and their doubling index
Sartori, A. & Wigman, I., 2 Aug 2023, (Accepted/In press) In: FORUM OF MATHEMATICS SIGMA.Research output: Contribution to journal › Article › peer-review
On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus
Rudnick, Z. & Wigman, I., 27 Jul 2023, (Accepted/In press) In: Journal D'Analyse Mathematique.Research output: Contribution to journal › Article › peer-review
On the Robin spectrum for the equilateral triangle
Rudnick, Z. & Wigman, I., 24 Jun 2022, In: Journal of Physics A: Mathematical and Theoretical. 55, 25, 254004.Research output: Contribution to journal › Article › peer-review
The Robin problem on rectangles
Rudnick, Z. & Wigman, I., 1 Nov 2021, In: JOURNAL OF MATHEMATICAL PHYSICS. 62, 11, 113503.Research output: Contribution to journal › Article › peer-review
Differences between Robin and Neumann eigenvalues
Rudnick, Z., Wigman, I. & Yesha, N., 8 Oct 2021, (Accepted/In press) In: Communications in Mathematical Physics.Research output: Contribution to journal › Article › peer-review
The defect of toral Laplace eigenfunctions and Arithmetic Random Waves: Toral defect
Kurlberg, P., Wigman, I. & Yesha, N., 26 Jul 2021, (Accepted/In press) In: NONLINEARITY.Research output: Contribution to journal › Article › peer-review
Mean conservation of nodal volume and connectivity measures for Gaussian ensembles
Beliaev, D., Muirhead, S. & Wigman, I., 12 Feb 2021, In: ADVANCES IN MATHEMATICS. 378, 107521.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
CENTRAL LIMIT THEOREM FOR PLANCK-SCALE MASS DISTRIBUTION OF TORAL LAPLACE EIGENFUNCTIONS
Wigman, I. & Yesha, N., 2019, In: MATHEMATIKA. 65, 3, p. 643-676 34 p.Research output: Contribution to journal › Article › peer-review
Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials
Beliaev, D., Muirhead, S. & Wigman, I., 10 Dec 2020, (Accepted/In press) In: Annales de l’Institut Henri Poincaré, Probabilités et Statistiques.Research output: Contribution to journal › Article › peer-review
Nodal deficiency of random spherical harmonics in presence of boundary
Wigman, I., 27 Dec 2020, (Accepted/In press) In: JOURNAL OF MATHEMATICAL PHYSICS.Research output: Contribution to journal › Article › peer-review
On the Robin spectrum for the hemisphere
Rudnick, Z. & Wigman, I., 24 Dec 2020, In: Annales mathematiques du quebec.Research output: Contribution to journal › Article › peer-review
Mean conservation of nodal volume and connectivity measures for Gaussian ensembles
Beliaev, D., Muirhead, S. & Wigman, I., 20 Nov 2020, (Accepted/In press) In: ADVANCES IN MATHEMATICS.Research output: Contribution to journal › Article › peer-review
No repulsion between critical points for planar Gaussian random fields
Beliaev, D., Cammarota, V. & Wigman, I., 12 Nov 2020, (Accepted/In press) In: Electronic Communications in Probability.Research output: Contribution to journal › Article › peer-review
Asymptotics for the expected number of nodal components for random lemniscates
Wigman, I. & Zakhar, K., 25 May 2020, (Accepted/In press) In: International Mathematics Research Notices.Research output: Contribution to journal › Article › peer-review
Direction distribution for nodal components of random band-limited functions on surfaces
Wigman, I. & Eswarathasan, S., 18 Mar 2020, (Accepted/In press) In: Transactions of the American Mathematical Society.Research output: Contribution to journal › Article › peer-review
On the expected Betti numbers of the nodal set of random fields
Wigman, I., 9 Mar 2020, (Accepted/In press) In: Analysis & pde.Research output: Contribution to journal › Article › peer-review
Boundary effect on the nodal length for Arithmetic Random Waves, and spectral semi-correlations
Cammarota, V., Klurman, O. & Wigman, I., 1 Jun 2020, In: Communications in Mathematical Physics. 376, 2, p. 1261-1310 50 p.Research output: Contribution to journal › Article › peer-review
Points on nodal lines with given direction
Wigman, I. & Rudnick, Z., 22 Apr 2019, (Accepted/In press) In: Journal of Spectral Theory.Research output: Contribution to journal › Article › peer-review
CLT for mass distribution of toral Laplace eigenfunctions
Wigman, I. & Yesha, N., 9 Feb 2019, (Accepted/In press) In: MATHEMATIKA.Research output: Contribution to journal › Article › peer-review
The Asymptotic Equivalence of the Sample Trispectrum and the Nodal Length for Random Spherical Harmonics
Marinucci, D., Rossi, M. & Wigman, I., 2020, In: Annales de l’Institut Henri Poincaré, Probabilités et Statistiques. 56, 1, p. 374-390 17 p.Research output: Contribution to journal › Article › peer-review
Planck-scale distribution of nodal length of arithmetic random waves
Benatar, J., Marinucci, D. & Wigman, I., Sept 2020, In: J.Anal.Math.. p. 707–749Research output: Contribution to journal › Article › peer-review
Asymptotic distribution of nodal intersections for arithmetic random waves
Rossi, M. & Wigman, I., 21 Aug 2018, In: NONLINEARITY. 31, 10, 45 p.Research output: Contribution to journal › Article › peer-review
Topologies of nodal sets of random band-limited functions
Sarnak, P. & Wigman, I., Feb 2019, In: COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 72, 2, p. 275-342 68 p.Research output: Contribution to journal › Article › peer-review
Variation of the Nazarov-Sodin constant for random plane waves and arithmetic random waves
Kurlberg, P. & Wigman, I., 25 May 2018, In: ADVANCES IN MATHEMATICS. 330, p. 516-552Research output: Contribution to journal › Article › peer-review
Volume distribution of nodal domains of random band-limited functions
Beliaev, D. & Wigman, I., 3 Nov 2017, In: PROBABILITY THEORY AND RELATED FIELDS. 172, 1-2, 453 p.Research output: Contribution to journal › Article › peer-review
Two point function for critical points of a random plane wave
Beliaev, D., Cammarota, V. & Wigman, I., 31 Aug 2017, (E-pub ahead of print) In: International Mathematics Research Notices.Research output: Contribution to journal › Article › peer-review
Planck-scale mass equidistribution of toral Laplace eigenfunctions
Wigman, I. & Granville, A., 15 May 2017, (Accepted/In press) In: Communications in Mathematical Physics. 35 p.Research output: Contribution to journal › Article › peer-review
Fluctuations of the total number of critical points of random spherical harmonics
Wigman, I. & Cammarota, V., 23 Mar 2017, (E-pub ahead of print) In: Stochastic Processes and Their Applications.Research output: Contribution to journal › Article › peer-review
Fluctuations of the Euler-Poincaré characteristic for random spherical harmonics
Wigman, I., Marinucci, D. & Cammarota, V., 1 Aug 2016, (E-pub ahead of print) In: Proceedings of the AMS.Research output: Contribution to journal › Article › peer-review
Non-Universality of Nodal Length Distribution for Arithmetic Random Waves
Wigman, I., 30 Jul 2016, (E-pub ahead of print) In: GEOMETRIC AND FUNCTIONAL ANALYSIS. 26, p. 926–960Research output: Contribution to journal › Article › peer-review
On the Number of Nodal Domains of Toral Eigenfunctions
Buckley, J. & Wigman, I., Nov 2016, In: Annales Henri Poincare. 2016, p. 3027–3062 17.Research output: Contribution to journal › Article › peer-review
Topologies of nodal sets of random band limited functions
Sarnak, P. & Wigman, I., 2016, Contemporary Mathematics. Jiang, D., Shahidi, F. & Soudry, D. (eds.). Vol. 664. 11 p. (Proceedings of the AMS).Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review
Nodal intersections for random waves on the 3-dimensional torus
Rudnick, Z., Wigman, I. & Yesha, N., 2016, In: ANNALES- INSTITUT FOURIER. 66, 6, p. 2455-2484 30 p.Research output: Contribution to journal › Article › peer-review
On the Distribution of the Critical Values of Random Spherical Harmonics
Cammarota, V., Marinucci, D. & Wigman, I., 2016, In: JOURNAL OF GEOMETRIC ANALYSIS.Research output: Contribution to journal › Article › peer-review
Nodal intersections for random eigenfunctions on the torus
Rudnick, Z. & Wigman, I., Dec 2016, In: AMERICAN JOURNAL OF MATHEMATICS. 138, 6, p. 1605-1644 40 p.Research output: Contribution to journal › Article › peer-review
Non-universality of the Nazarov-Sodin constant
Kurlberg, P. & Wigman, I., Feb 2015, In: COMPTES RENDUS MATHEMATIQUE. 353, 2, p. 101-104Research output: Contribution to journal › Article › peer-review
On probability measures arising from lattice points on circles
Kurlberg, P. & Wigman, I., 2016, (Accepted/In press) In: Mathematische Annalen.Research output: Contribution to journal › Article › peer-review
On Nonlinear Functionals of Random Spherical Eigenfunctions
Marinucci, D. & Wigman, I., May 2014, In: Communications in Mathematical Physics. 327, 3, p. 849-872 24 p.Research output: Contribution to journal › Article › peer-review
Nodal length fluctuations for arithmetic random waves
Krishnapur, M., Kurlberg, P. & Wigman, I., 2013, In: ANNALS OF MATHEMATICS. 177, 2, p. 699-737 39 p.Research output: Contribution to journal › Article › peer-review
Counting singular matrices with primitive row vectors
Wigman, I., Jan 2005, In: MONATSHEFTE FUR MATHEMATIK. 144, 1, p. 71-84 14 p.Research output: Contribution to journal › Article › peer-review
Statistics of lattice points in thin annuli for generic lattices
Wigman, I., 2006, In: DOCUMENTA MATHEMATICA. 11, 1, p. 1-23 23 p., N/A.Research output: Contribution to journal › Article › peer-review
Corrigenda: The distribution of lattice points in elliptic annuli
Wigman, I., Jun 2007, In: QUARTERLY JOURNAL OF MATHEMATICS. 58, 2, p. 279-280 2 p.Research output: Contribution to journal › Article › peer-review
Erratum (Statistics of lattice points in thin annuli for generic lattices vol 11, pg 1, 2005)
Wigman, I., 2007, In: DOCUMENTA MATHEMATICA. 12, N/A, p. 547-548 2 p., N/A.Research output: Contribution to journal › Article › peer-review
On the volume of nodal sets for eigenfunctions of the Laplacian on the torus
Rudnick, Z. & Wigman, I., Feb 2008, In: Annales Henri Poincare. 9, 1, p. 109-130 22 p.Research output: Contribution to journal › Article › peer-review
The Leray measure of nodal sets for random eigenfunctions on the torus
Oravecz, F., Rudnick, Z. & Wigman, I., 2008, In: ANNALES- INSTITUT FOURIER. 58, 1, p. 299-335 37 p.Research output: Contribution to journal › Article › peer-review
Counting Open Nodal Lines of Random Waves on Planar Domains
Toth, J. A. & Wigman, I., 2009, In: International Mathematics Research Notices. 2009, 18, p. 3337-3365 29 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
Probability
The Probability group in the Department of Mathematics at King's College London.
News
NMS Christmas Lectures 2019
The countdown to the holidays began recently in the Faculty of Natural & Mathematical Sciences, as school pupils from across London attended the Faculty’s...
Random Waves in London
The workshop, Random Waves in London, took place from the 3 - 5 May 2016 at King's College London and brought together researchers from all over the world...
Events
Mathematics Inaugural Lecture: Professors Dmitri Panov and Igor Wigman
Join us to celebrate a special milestone for our new professors and hear about their inspiring career journeys.
Please note: this event has passed.
Quantum chaos and nodal sets of random waves
The conference "Quantum Chaos and Nodal Sets of Random Waves" gathers researchers from across the world from different disciplines.
Please note: this event has passed.
The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration
Wigman, I. & Muirhead, S., 19 Feb 2025, (Accepted/In press) In: PROBABILITY THEORY AND RELATED FIELDS.Research output: Contribution to journal › Article › peer-review
Eigenvalue clusters for the hemisphere Laplacian with variable Robin condition
Pushnitski, A. & Wigman, I., 5 Aug 2024, (Accepted/In press) In: Probability and Mathematical Physics.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
The expected nodal volume of non-Gaussian random band-limited functions, and their doubling index
Sartori, A. & Wigman, I., 2 Aug 2023, (Accepted/In press) In: FORUM OF MATHEMATICS SIGMA.Research output: Contribution to journal › Article › peer-review
On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus
Rudnick, Z. & Wigman, I., 27 Jul 2023, (Accepted/In press) In: Journal D'Analyse Mathematique.Research output: Contribution to journal › Article › peer-review
On the Robin spectrum for the equilateral triangle
Rudnick, Z. & Wigman, I., 24 Jun 2022, In: Journal of Physics A: Mathematical and Theoretical. 55, 25, 254004.Research output: Contribution to journal › Article › peer-review
The Robin problem on rectangles
Rudnick, Z. & Wigman, I., 1 Nov 2021, In: JOURNAL OF MATHEMATICAL PHYSICS. 62, 11, 113503.Research output: Contribution to journal › Article › peer-review
Differences between Robin and Neumann eigenvalues
Rudnick, Z., Wigman, I. & Yesha, N., 8 Oct 2021, (Accepted/In press) In: Communications in Mathematical Physics.Research output: Contribution to journal › Article › peer-review
The defect of toral Laplace eigenfunctions and Arithmetic Random Waves: Toral defect
Kurlberg, P., Wigman, I. & Yesha, N., 26 Jul 2021, (Accepted/In press) In: NONLINEARITY.Research output: Contribution to journal › Article › peer-review
Mean conservation of nodal volume and connectivity measures for Gaussian ensembles
Beliaev, D., Muirhead, S. & Wigman, I., 12 Feb 2021, In: ADVANCES IN MATHEMATICS. 378, 107521.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
CENTRAL LIMIT THEOREM FOR PLANCK-SCALE MASS DISTRIBUTION OF TORAL LAPLACE EIGENFUNCTIONS
Wigman, I. & Yesha, N., 2019, In: MATHEMATIKA. 65, 3, p. 643-676 34 p.Research output: Contribution to journal › Article › peer-review
Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials
Beliaev, D., Muirhead, S. & Wigman, I., 10 Dec 2020, (Accepted/In press) In: Annales de l’Institut Henri Poincaré, Probabilités et Statistiques.Research output: Contribution to journal › Article › peer-review
Nodal deficiency of random spherical harmonics in presence of boundary
Wigman, I., 27 Dec 2020, (Accepted/In press) In: JOURNAL OF MATHEMATICAL PHYSICS.Research output: Contribution to journal › Article › peer-review
On the Robin spectrum for the hemisphere
Rudnick, Z. & Wigman, I., 24 Dec 2020, In: Annales mathematiques du quebec.Research output: Contribution to journal › Article › peer-review
Mean conservation of nodal volume and connectivity measures for Gaussian ensembles
Beliaev, D., Muirhead, S. & Wigman, I., 20 Nov 2020, (Accepted/In press) In: ADVANCES IN MATHEMATICS.Research output: Contribution to journal › Article › peer-review
No repulsion between critical points for planar Gaussian random fields
Beliaev, D., Cammarota, V. & Wigman, I., 12 Nov 2020, (Accepted/In press) In: Electronic Communications in Probability.Research output: Contribution to journal › Article › peer-review
Asymptotics for the expected number of nodal components for random lemniscates
Wigman, I. & Zakhar, K., 25 May 2020, (Accepted/In press) In: International Mathematics Research Notices.Research output: Contribution to journal › Article › peer-review
Direction distribution for nodal components of random band-limited functions on surfaces
Wigman, I. & Eswarathasan, S., 18 Mar 2020, (Accepted/In press) In: Transactions of the American Mathematical Society.Research output: Contribution to journal › Article › peer-review
On the expected Betti numbers of the nodal set of random fields
Wigman, I., 9 Mar 2020, (Accepted/In press) In: Analysis & pde.Research output: Contribution to journal › Article › peer-review
Boundary effect on the nodal length for Arithmetic Random Waves, and spectral semi-correlations
Cammarota, V., Klurman, O. & Wigman, I., 1 Jun 2020, In: Communications in Mathematical Physics. 376, 2, p. 1261-1310 50 p.Research output: Contribution to journal › Article › peer-review
Points on nodal lines with given direction
Wigman, I. & Rudnick, Z., 22 Apr 2019, (Accepted/In press) In: Journal of Spectral Theory.Research output: Contribution to journal › Article › peer-review
CLT for mass distribution of toral Laplace eigenfunctions
Wigman, I. & Yesha, N., 9 Feb 2019, (Accepted/In press) In: MATHEMATIKA.Research output: Contribution to journal › Article › peer-review
The Asymptotic Equivalence of the Sample Trispectrum and the Nodal Length for Random Spherical Harmonics
Marinucci, D., Rossi, M. & Wigman, I., 2020, In: Annales de l’Institut Henri Poincaré, Probabilités et Statistiques. 56, 1, p. 374-390 17 p.Research output: Contribution to journal › Article › peer-review
Planck-scale distribution of nodal length of arithmetic random waves
Benatar, J., Marinucci, D. & Wigman, I., Sept 2020, In: J.Anal.Math.. p. 707–749Research output: Contribution to journal › Article › peer-review
Asymptotic distribution of nodal intersections for arithmetic random waves
Rossi, M. & Wigman, I., 21 Aug 2018, In: NONLINEARITY. 31, 10, 45 p.Research output: Contribution to journal › Article › peer-review
Topologies of nodal sets of random band-limited functions
Sarnak, P. & Wigman, I., Feb 2019, In: COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. 72, 2, p. 275-342 68 p.Research output: Contribution to journal › Article › peer-review
Variation of the Nazarov-Sodin constant for random plane waves and arithmetic random waves
Kurlberg, P. & Wigman, I., 25 May 2018, In: ADVANCES IN MATHEMATICS. 330, p. 516-552Research output: Contribution to journal › Article › peer-review
Volume distribution of nodal domains of random band-limited functions
Beliaev, D. & Wigman, I., 3 Nov 2017, In: PROBABILITY THEORY AND RELATED FIELDS. 172, 1-2, 453 p.Research output: Contribution to journal › Article › peer-review
Two point function for critical points of a random plane wave
Beliaev, D., Cammarota, V. & Wigman, I., 31 Aug 2017, (E-pub ahead of print) In: International Mathematics Research Notices.Research output: Contribution to journal › Article › peer-review
Planck-scale mass equidistribution of toral Laplace eigenfunctions
Wigman, I. & Granville, A., 15 May 2017, (Accepted/In press) In: Communications in Mathematical Physics. 35 p.Research output: Contribution to journal › Article › peer-review
Fluctuations of the total number of critical points of random spherical harmonics
Wigman, I. & Cammarota, V., 23 Mar 2017, (E-pub ahead of print) In: Stochastic Processes and Their Applications.Research output: Contribution to journal › Article › peer-review
Fluctuations of the Euler-Poincaré characteristic for random spherical harmonics
Wigman, I., Marinucci, D. & Cammarota, V., 1 Aug 2016, (E-pub ahead of print) In: Proceedings of the AMS.Research output: Contribution to journal › Article › peer-review
Non-Universality of Nodal Length Distribution for Arithmetic Random Waves
Wigman, I., 30 Jul 2016, (E-pub ahead of print) In: GEOMETRIC AND FUNCTIONAL ANALYSIS. 26, p. 926–960Research output: Contribution to journal › Article › peer-review
On the Number of Nodal Domains of Toral Eigenfunctions
Buckley, J. & Wigman, I., Nov 2016, In: Annales Henri Poincare. 2016, p. 3027–3062 17.Research output: Contribution to journal › Article › peer-review
Topologies of nodal sets of random band limited functions
Sarnak, P. & Wigman, I., 2016, Contemporary Mathematics. Jiang, D., Shahidi, F. & Soudry, D. (eds.). Vol. 664. 11 p. (Proceedings of the AMS).Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review
Nodal intersections for random waves on the 3-dimensional torus
Rudnick, Z., Wigman, I. & Yesha, N., 2016, In: ANNALES- INSTITUT FOURIER. 66, 6, p. 2455-2484 30 p.Research output: Contribution to journal › Article › peer-review
On the Distribution of the Critical Values of Random Spherical Harmonics
Cammarota, V., Marinucci, D. & Wigman, I., 2016, In: JOURNAL OF GEOMETRIC ANALYSIS.Research output: Contribution to journal › Article › peer-review
Nodal intersections for random eigenfunctions on the torus
Rudnick, Z. & Wigman, I., Dec 2016, In: AMERICAN JOURNAL OF MATHEMATICS. 138, 6, p. 1605-1644 40 p.Research output: Contribution to journal › Article › peer-review
Non-universality of the Nazarov-Sodin constant
Kurlberg, P. & Wigman, I., Feb 2015, In: COMPTES RENDUS MATHEMATIQUE. 353, 2, p. 101-104Research output: Contribution to journal › Article › peer-review
On probability measures arising from lattice points on circles
Kurlberg, P. & Wigman, I., 2016, (Accepted/In press) In: Mathematische Annalen.Research output: Contribution to journal › Article › peer-review
On Nonlinear Functionals of Random Spherical Eigenfunctions
Marinucci, D. & Wigman, I., May 2014, In: Communications in Mathematical Physics. 327, 3, p. 849-872 24 p.Research output: Contribution to journal › Article › peer-review
Nodal length fluctuations for arithmetic random waves
Krishnapur, M., Kurlberg, P. & Wigman, I., 2013, In: ANNALS OF MATHEMATICS. 177, 2, p. 699-737 39 p.Research output: Contribution to journal › Article › peer-review
Counting singular matrices with primitive row vectors
Wigman, I., Jan 2005, In: MONATSHEFTE FUR MATHEMATIK. 144, 1, p. 71-84 14 p.Research output: Contribution to journal › Article › peer-review
Statistics of lattice points in thin annuli for generic lattices
Wigman, I., 2006, In: DOCUMENTA MATHEMATICA. 11, 1, p. 1-23 23 p., N/A.Research output: Contribution to journal › Article › peer-review
Corrigenda: The distribution of lattice points in elliptic annuli
Wigman, I., Jun 2007, In: QUARTERLY JOURNAL OF MATHEMATICS. 58, 2, p. 279-280 2 p.Research output: Contribution to journal › Article › peer-review
Erratum (Statistics of lattice points in thin annuli for generic lattices vol 11, pg 1, 2005)
Wigman, I., 2007, In: DOCUMENTA MATHEMATICA. 12, N/A, p. 547-548 2 p., N/A.Research output: Contribution to journal › Article › peer-review
On the volume of nodal sets for eigenfunctions of the Laplacian on the torus
Rudnick, Z. & Wigman, I., Feb 2008, In: Annales Henri Poincare. 9, 1, p. 109-130 22 p.Research output: Contribution to journal › Article › peer-review
The Leray measure of nodal sets for random eigenfunctions on the torus
Oravecz, F., Rudnick, Z. & Wigman, I., 2008, In: ANNALES- INSTITUT FOURIER. 58, 1, p. 299-335 37 p.Research output: Contribution to journal › Article › peer-review
Counting Open Nodal Lines of Random Waves on Planar Domains
Toth, J. A. & Wigman, I., 2009, In: International Mathematics Research Notices. 2009, 18, p. 3337-3365 29 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
Probability
The Probability group in the Department of Mathematics at King's College London.
News
NMS Christmas Lectures 2019
The countdown to the holidays began recently in the Faculty of Natural & Mathematical Sciences, as school pupils from across London attended the Faculty’s...
Random Waves in London
The workshop, Random Waves in London, took place from the 3 - 5 May 2016 at King's College London and brought together researchers from all over the world...
Events
Mathematics Inaugural Lecture: Professors Dmitri Panov and Igor Wigman
Join us to celebrate a special milestone for our new professors and hear about their inspiring career journeys.
Please note: this event has passed.
Quantum chaos and nodal sets of random waves
The conference "Quantum Chaos and Nodal Sets of Random Waves" gathers researchers from across the world from different disciplines.
Please note: this event has passed.