DOMINIK BECK HOME PAGE

I'm a PhD candidate with passion for numbers and patterns!

About Me

I received master degrees in both Theoretical Physics [2021] and Science Education [2019] from Charles University in Prague, where I continue as a doctoral student working on the topic of random geometry. My research interests include Random geometry (PhD topic), Analytic Combinatorics, Special Functions and more...

My MSE account: Machinato

My Doctoral thesis: Random polytopes (updated and colored version, please email me any mistakes spotted!)

Courses Taught

Mathematical Analysis I-V
Probability and Statistics
Geometry I
Linear Algebra

Publications

(2025) BECK D., POTECHIN A., LV Z. Analysing the Moments of the Determinant of a Random Matrix Via Analytic Combinatorics of Permutation Tables. arXiv e-prints: arXiv:2507.03651. (preprint)
(2025) BECK D. When Mathematics Helps Physics: Calculation of the Integral of Kholodenko and Silagadze. AIP Advances: (published online).
(2025) BECK D. The Probability that a Random Triangle in a Cube is Obtuse. arXiv e-prints: arXiv:2501.11611. (preprint)
(2024) BECK D. On Random Simplex Picking Beyond the Blashke Problem. arXiv e-prints: arXiv:2412.07952. (preprint)
(2024) BECK D., POTECHIN A., LV Z. On the second moment of the determinant of random symmetric, Wigner, and Hermitian matrices. arXiv e-prints: arXiv:2409.14620. (preprint)
(2023) BECK D. Mean distance in polyhedra. arXiv e-prints: arXiv:2309.13177. (preprint)
(2023) BECK D. Efron's Mean Volume Formula in Higher Dimensions. arXiv e-prints: arXiv:2308.02854. (preprint withdrawn - the result is wrong)
(2023) POTECHIN A., LV Z., BECK D. The Sixth Moment of Random Determinants. Journal of Integer Sequences 6 (published online)
(2022) BECK D. On the fourth moment of a random determinant. Random Matrices: Theory and Applications VOL. 12, NO. 04. (published online). arXiv e-prints: arXiv:2207.09311
(2022) BECK D. New Elementary Derivation of Fresnel Integrals. Amer. Math. Monthly. (published online)

Conferences and Stays abroad

(2025) BECK D. On Random Simplex Picking Beyond the Blaschke Problem. ECSIA 2025. 14th European Congress for Stereology and Image Analysis, Prague, Czechia, September 15-18, 2025
(2025) BECK D. Analysing the Moments of the Determinant of a Random Matrix Via Analytic Combinatorics of Permutation Tables. Doktorand:innentreffen der Stochastik, Mannheim, Germany, August 27-29, 2025
(2025) BECK D. Analysing the Moments of the Determinant of a Random Matrix Via Analytic Combinatorics of Permutation Tables. RS&A 2025. Random Structures & Algorithms. August 4 – August 8, 2025. Vienna, Austria
(2025) BECK D. Analytic combinatorics of permutation tables. MatTriad 2025. International Conference on Matrix Analysis and its Applications June 30 - July 2, 2025. Novi Sad, Serbia (invited speaker)
(2025) BECK D. On Random Simplex Picking GPSD 2025. 17th German Probability and Statistics Days. March 11-14, 2025. TUD Dresden, Germany (talk)
(2024) BECK D. On Random Simplex Picking. Bernoulli-ims 11th World Congress in Probability and Statistics August 12-16, 2024. Bochum, Germany (poster)
(2024) BECK D. On Random Simplex Picking. 22st Workshop on Stochastic Geometry, Stereology and Image Analysis. Bad Herrenalb, Germany. (poster)
(2024) Spring school "Isoperimetric inequalities in high dimensional convex sets", Paris, May 21-24 2024
(2024) Anna Gusakova internship Münster, Germany, March/12 April 2024
(2024) BECK D. Mean distances in polyhedra. Synergies between modern probability, geometric analysis and stochastic geometry, Bonn, Germany (lecture)
(2023) BECK D. Mean distance & mean tetrahedron volume in convex polyhedra. Conference on Convex Geometry and Geometric Probability, Salzburg (lecture)
(2023) BECK D. Fourth moment of random determinants. International Conference on Matrix Analysis and its Applications, MatTriad 2023. (lecture)
(2023) BECK D. Fourth moment of random determinants. Rijeka Conference on Combinatorial Objects and Their Applications. (lecture)
(2022) BECK D. Mean distance in polyhedra. 21st Workshop on Stochastic Geometry, Stereology and Image Analysis. Nesuchyně, Czechia. (poster)

"Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding ." - William Paul Thurston

Upcoming public lectures and other events

Date	Event	Location
June 6, 2025	Markovské řetězce se spojitým stavovým prostorem	Praha, GYBOT
ORGANISATOR: PNoc
November 22, 2024	Analytická kombinatorika	Praha, GYBOT
ORGANISATOR: PNoc
November 8, 2024	Analytic Combinatorics	Ostrava, WIGYM
ORGANISATOR: PiNoc
October 18, 2024	Legendre Polynomials	Výjezdní seminář ÚTF

October 11, 2024	Permutations	Plzeň, Lecture Night
ORGANISATOR: PlNoc
July 26-28, 2024	FIHS 4	Mníšek

June 14, 2024	Excel (math)art	Praha, Lecture Night, Gybot
ORGANISATOR: PNoc Matemtické a jiné simulace v Excelu. Mám rád matematiku a mám rád Excel. A taky mám artistické sklony, jež bych Vám také rád předvedl. Show up, který se změní v malou show. Od střední po vysokou školu jsem v Excelu vytvořil sheety na vedení tepla, fraktály, náhodný šum, vlnění povrchu kapaliny a mnoho dalších. Plus bych Vám rád ukázal svůj most recent sheet.
May 10, 2024	Excel (math)art	Brno, Lecture Night, GKJ
ORGANISATOR: BrNoc Matemtické a jiné simulace v Excelu. Mám rád matematiku a mám rád Excel. A taky mám artistické sklony, jež bych Vám také rád předvedl. Show up, který se změní v malou show. Od střední po vysokou školu jsem v Excelu vytvořil sheety na vedení tepla, fraktály, náhodný šum, vlnění povrchu kapaliny a mnoho dalších. Plus bych Vám rád ukázal svůj most recent sheet.
May 7, 2024	On Random Simplex Picking	Seminar room KPMS, 15:40
ABSTRACT
February 9, 2024	Permutations	Hradec Králové, Lecture Night
ORGANISATOR: HraNoL
February 9, 2024	Monte Carlo Method	Hradec Králové, Lecture Night
ORGANISATOR: HraNoL
November 24, 2023	Birds get lost	Prague, Lecture Night
ORGANISATOR: PNoc
September 18, 2023	Analytic Combinatorics	Liberec, Seminar KMA FP TUL

July 28-30, 2023	FIHS 3	Brno
FIRST INDEPENDENT HOME SEMINAR
June 9, 2023	Markov chains	Prague, Lecture Night
ORGANISATOR: PNoc
June 9, 2023	Contour integration	Prague, Lecture Night
ORGANISATOR: PNoc
May 12, 2023	Contour integration	Brno, Lecture Night
ORGANISATOR: BrNoc
April 4, 2023	Moments of Determinants of Random Matrices (2nd part)	Seminar room KPMS, 15:40

March 21, 2023	Moments of Determinants of Random Matrices	Seminar room KPMS, 15:40

December 1, 2022	Moments of Determinants of Random Matrices	Seminar room KDM, 15:00

November 25, 2022	Analytic Combinatorics	Brno, Lecture Night
ORGANISATOR: BrNoc
November 8, 2022	Mean Distances in Polyhedra	Seminar room KPMS, 15:40

July 29-31, 2022	FIHS 2	Mníšek
FIRST INDEPENDENT HOME SEMINAR PROGRAM
June 29, 2022	Mean Distances in Polyhedra	Karlín, DDS
ORGANISATOR: DDS
July 16-18, 2021	FIHS 1	Robinson's Tea Room
FIRST INDEPENDENT HOME SEMINAR \[ \mathbb{E}\left[V_8\right] = \frac{19297 \pi^2}{3843840}-\frac{6619}{184320} \]

Get in Touch

If you have any questions or just want to say hi, feel free to send me an email at beckd at karlin.mff.cuni.cz.