About me

I am PhD graduate in mathematics at the University Paris-Saclay in France and University of Vienna in Austria. My advisors were Alin Bostan and Herwig Hauser and my interests are integer sequences, differential operators and algebraic power series. I also have a master's degree in mathematics and another one in quantitative finance.

Publications

Authors Title Year       Download
A. Bostan, A. Straub, S. Yurkevich On the representability of sequences as constant terms,
In Journal of Number theory, vol 253, pp. 235–256.
DOI: doi.org/10.1016/j.jnt.2023.06.015 		2023 pdf bib
H. Notarantonio, S. Yurkevich Algebraicity for solutions of systems of functional equations,
In: Séminaire Lotharingien de Combinatoire, vol. 89B-13, pp. 1–12, 2023.
Talk at FPSAC'23. DOI: https://www.mat.univie.ac.at/~slc/ 		2023 pdf
A. Bostan, V. Neiger, S. Yurkevich Beating binary powering for polynomial matrices,
In: Proceedings of ISSAC'23, pp. 70–79, ACM Press,
DOI: doi.org/10.1145/3597066.3597118 		2023 pdf bib
A. Bostan, S. Yurkevich On the q-analogue of Pólya's Theorem,
In: Electronic Journal of Combinatorics, vol 30, pp. 2.9:1-9
DOI: doi.org/10.37236/11269 		2023 pdf bib
J. Steininger, S. Yurkevich An algorithmic approach to Rupert's problem,
In: Mathematics of Computation, vol 92, pp. 1905–1929.
DOI: doi.org/10.1090/mcom/3831 		2023 pdf bib
J. Steininger, S. Yurkevich Extended Abstract for: Solving Rupert's problem algorithmically,
In: ACM Communications in Computer Algebra, vol 56, Nr 2, pp. 32-35.
DOI: doi.org/10.1145/3572867.3572870 		2022 pdf bib
S. Yurkevich The art of algorithmic guessing in gfun,
In: Maple Transactions, vol 2, pp. 14421:1-14421:19.
DOI: doi.org/10.5206/mt.v2i1.14421 		2022 pdf bib
A. Bostan, S. Yurkevich Fast Computation of the N-th Term of a q-Holonomic Sequence and Applications,
In: Journal of Symbolic Computation, vol 115, pp. 96-123.
DOI: doi.org/10.1016/j.jsc.2022.07.008 		2023 pdf bib
A. Bostan, S. Yurkevich A hypergeometric proof that Iso is bijective,
In: Proceedings of the American Mathematical Society, vol 150, pp. 2131-2136.
DOI: doi.org/10.1090/proc/15836		 2022 pdf bib
A. Bostan, S. Yurkevich On a Class of Hypergeometric Diagonals,
In: Proceedings of the American Mathematical Society, vol 150, pp. 1071-1897.
DOI: doi.org/10.1090/proc/15693		 2022 pdf bib
S. Yurkevich Diagonal Representation of Algebraic Power Series: A Glimpse Behind the Scenes,
In: Transcendence in Algebra, Combinatorics, Geometry and Number Theory (TRANS 2019),
Springer Proceedings in Mathematics and Statistics, vol 373, pp. 309-339.
DOI: doi.org/10.1007/978-3-030-84304-5_13 		2021 pdf bib

Preprints

Authors Title Year PDF
H. Notarantonio, S. Yurkevich Systems of Discrete Differential Equations, Constructive Algebraicity of the Solutions, 30 pages. 2023 pdf
F. Fürnsinn, S. Yurkevich Algebraicity of hypergeometric functions with arbitrary parameters, 21 pages. 2023 pdf
H. Melánová, S. Yurkevich Invariant Functions under GL2 and SL2, 10 pages. 2020 pdf

Presentations and talks

Conference/Workshop/Seminar Place Title Year Links
Commutative Algebra & Differential Equations Seminar Austria,
Uni Vienna		 Sequences and constant terms 2023
Seminar Algebra and Discrete Mathematics Austria,
JKU, Linz		 Biomembranes and creative telescoping 2023
International Symposium on Symbolic and Algebraic Computation (ISSAC) Norway,
Tromsø		 Beating binary powering for polynomial matrices 2023
PhD Defense Austria,
Vienna 		Integer sequences, differential operators and algebraic power series 2023
FoCM23 France,
Jussieu, Paris 		The generating function of DYZ-like numbers is algebraic 2023
AG Diskrete Mathematik Austria,
TU, Vienna		 Algebraic solutions of DDEs with one catalytic variable 2023
Journées Nationales de Calcul Formel (JNCF) France,
CIRM, Luminy		 Beating binary powering for computing the Nth power 2023
MathExp seminar France,
Saclay		 Algebraic solutions of DDEs with one catalytic variable 2023
Periods Workshop Portugal,
Lisbon		 Creative telescoping for periods 2023
Enumerative Combinatorics Germany,
Oberwolfach		 Algebraic solutions of continuous and discrete differential equations 2022
Algebraic and Enumerative Combinatorics Canada,
Waterloo		 Algebraicity of solutions of functional equations with one catalytic variable 2022
Combinatorics and Arithmetic for Physics (CAP22) France,
IHES		 Creative Telescoping for the Canham model in genus one 2022
Journées du GDR EFI France,
Toulouse		 Hypergeometric diagonals and a step towards Christol’s conjecture 2022
International Symposium on Symbolic and Algebraic Computation (ISSAC) France,
Lille		 Solving Rupert's problem algorithmically 2022
Functional Equations in LIMoges (FELIM) France,
Limoges		 Conjecturing and proving that the generating function of the Yang-Zagier numbers is algebraic 2022
Journées Nationales de Calcul Formel (JNCF) France,
CIRM, Luminy		 The Art of Educated Algorithmic Guessing 2022
Combinatorics and Arithmetic for Physics (CAP21) France,
IHES		 How to conjecture and prove that the generating function of the Yang-Zagier numbers is algebraic 2021
Maple Conference Online The Art of Algorithmic Guessing (in gfun) 2021 slides
Applied Algebraic Geometry (AG21) Online The Generating Function of the Yang-Zagier Numbers is Algebraic 2021 slides
Applications of Computer Algebra (ACA21) Online Diagonals and Hypergeometric Functions 2021 slides
Journées Nationales de Calcul Formel (JNCF) Online
CIRM, Luminy		 Computing the N-th term of a q-holonomic sequence 2021 slides
Transcendance et combinatoire Online On a class of hypergeometric diagonals 2020 slides

My theses

University Thesis Title Year PDF
University Paris-Saclay and University of Vienna Doctoral thesis Integer sequences, algebraic series and differential operators 2023 pdf
Vienna University of Economics and Business Masters's thesis Dictionaries for Financial Texts 2020 pdf
University of Vienna Masters's thesis Algebraic Power Series 2020 pdf
Vienna University of Economics and Business Bachelor's thesis Die Warteschlangentheorie 2018 pdf
University of Vienna Bachelor's thesis The Prime Number Theorem 2017 pdf

Curriculum vitae

Time Place Event
October 2023 –
present		 A&R Tech (Team AI Alligators),
Vienna, Austria		 Researcher for safe AI and computer vision
August 2023 –
present		 University of Vienna,
Faculty of Mathematics, Austria		 PostDoc in Mathematics
March 2020 –
July 2023		 University of Vienna, Faculty of Mathematics, Austria
Université Paris-Saclay, France		 PhD in Mathematics
October 2018 –
September 2020		 Vienna University of Economics and Business (WU Vienna),
Faculty of Quantitative Finance, Austria		 Master of Science in Quantitative Finance
October 2017 –
Februrary 2020		 University of Vienna,
Faculty of Mathematics, Austria		 Master of Science in Mathematics
October 2015 –
March 2020		 Vienna University of Economics and Business (WU Vienna),
Faculty of Economics and Social Sciences, Austria		 Bachelor of Science in Business Administration
October 2014 –
June 2017		 University of Vienna,
Faculty of Mathematics, Austria		 Bachelor of Science in Mathematics
September 2006 –
June 2014		 Bundesrealgymnasium GRG3 Radetzkystraße,
Vienna, Austria		 High School
September 2006 –
June 2014		 Russian Embassy School,
Vienna, Austria		 High School