# Andreas Strömbergsson

Professor at Department of Mathematics; Dynamical Systems and Number Theory

- Telephone:
- +46 18 471 32 21
- Mobile phone:
- +46 70 425 00 35
- E-mail:
- andreas.strombergsson@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480

751 06 UPPSALA

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## Biography

*This text is not available in English, therefore the Swedish version is shown.*

Personal web page: http://www.math.uu.se/~astrombe

## Research

Recent preprints:

- M. Palmer, A. Strömbergsson, The Boltzmann-Grad limit of the Lorentz gas in a union of lattices.
- A. Strömbergsson, A. Södergren, On a mean value formula for multiple sums over a lattice and its dual.
- D. Kleinbock, A. Strömbergsson, S. Yu, A Measure Estimate in Geometry of Numbers and Improvements to Dirichlet's Theorem, arXiv:2108.04638.

## Publications

### Selection of publications

- On the generalized circle problem for a random lattice in large dimension (2019)
- An effective Ratner equidistribution result for SL(2, R)∝R
^{2}(2015) - The Boltzmann-Grad limit of the periodic Lorentz gas (2011)
- The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems (2010)
- Minima of Epstein's Zeta Function and Heights of Flat Tori (2006)

### Recent publications

- A measure estimate in geometry of numbers and improvements to Dirichlet's theorem (2022)
- Twist-minimal trace formulas and the Selberg eigenvalue conjecture (2020)
- An effective equidistribution result for SL(2,R) ∝(R2)⊕k and application to inhomogeneous quadratic forms (2020)
- On the generalized circle problem for a random lattice in large dimension (2019)
- On the location of the zero-free half-plane of a random Epstein zeta function (2018)

### All publications

#### Articles

- A measure estimate in geometry of numbers and improvements to Dirichlet's theorem (2022)
- Twist-minimal trace formulas and the Selberg eigenvalue conjecture (2020)
- An effective equidistribution result for SL(2,R) ∝(R2)⊕k and application to inhomogeneous quadratic forms (2020)
- On the generalized circle problem for a random lattice in large dimension (2019)
- On the location of the zero-free half-plane of a random Epstein zeta function (2018)
- Universal Hitting Time Statistics for Integrable Flows (2017)
- The Three Gap Theorem and the Space of Lattices (2017)
- Generalized Linear Boltzmann Equations for Particle Transport in Polycrystals (2015)
- Visibility and Directions in Quasicrystals (2015)
- An effective Ratner equidistribution result for SL(2, R)∝R
^{2}(2015) - Power-Law Distributions for the Free Path Length in Lorentz Gases (2014)
- Free Path Lengths in Quasicrystals (2014)
- Bounds and algorithms for the K-Bessel function of imaginary order (2013)
- Diameters of random circulant graphs (2013)
- Gaps between logs (2013)
- On The Deviation Of Ergodic Averages For Horocycle Flows (2013)
- On the limit distribution of Frobenius numbers (2012)
- The Boltzmann-Grad limit of the periodic Lorentz gas (2011)
- On the probability of a random lattice avoiding a large convex set (2011)
- The periodic Lorentz gas in the Boltzmann-Grad limit (2011)
- The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems (2010)
- Kinetic transport in the two-dimensional periodic Lorentz gas (2008)
- Numerical computations with the trace formula and the Selberg eigenvalue conjecture (2007)
- Effective Computation of Maass Cusp Forms (2006)
- Minima of Epstein's Zeta Function and Heights of Flat Tori (2006)
- Small solutions to linear congruences and Hecke equidistribution (2005)
- On the uniform equidistribution of long closed horocycles (2004)
- Equidistribution of Kronecker sequences along closed horocycles (2003)
- On quantum chaos and Maass waveforms of CM-type (2001)
- Some remarks on a spectral correspondence for maass waveforms (2001)
- Some Remarks on a Spectral Correspondence for Maass Waveforms (2001)
- On the zeros of L-functions associated to Maass waveforms (1999)
- Sextic covers of genus two which are branched at three points