• Basis properties of Fučík eigenfunctions for the Neumann Laplacian with V. Bobkov, Journal of Mathematical Analysis and Applications, Volume 516 (1), 2022.
  DOI: 10.1016/j.jmaa.2022.126466
• Basisness of Fučík eigenfunctions for the Dirichlet Laplacian with V. Bobkov, 2021 UNC Greensboro PDE Conference, Electronic Journal of Differential Equations, Conference 26, pp. 33-43, 2022.
  ISSN: 1072-6691
• Basis properties of Fučík eigenfunctions with V. Bobkov, Analysis Mathematica, Volume 48 (3), pp. 619-648, 2022.
  DOI: 10.1007/s10476-022-0127-9
• A note on a PDE approach to option pricing under xVA with M. Fencl, J. Pospíšil, and V. Švígler, Wilmott, Volume 2022 (118), pp. 60-69, 2022.
  DOI: 10.1002/wilm.11004
• Seasonality of salmonid parasites from flow-through aquaculture in northern Germany: Emphasis on pathogenicity of Diplostomum spp. metacercaria with P. Unger, J. Suthar, X. Neitemeier-Duventester, S. Kleinertz und H. W. Palm, Aquaculture, Fish and Fisheries, Volume 2 (1), pp. 1-11, 2022.
  DOI: 10.1002/aff2.25
• Space-time analyticity of weak solutions to semilinear parabolic systems with variable coeffcients with P. Takáč, Electronic Journal of Differential Equations, Special Issue 01, pp. 23-89, 2021.
  ISSN: 1072-6691
• Solution of option pricing equations using orthogonal polynomial expansion with K. Filipová and J. Pospíšil, Applications of Mathematics, Volume 66 (4), pp. 553-582, 2021.
  DOI: 10.21136/AM.2021.0361-19
• On asymptotic behaviour of Dirichlet inverse with V. Bobkov, International Journal of Number Theory, Volume 16 (6), pp. 1337-1354, 2020.
  DOI: 10.1142/S1793042120500700
• Unifying pricing formula for several stochastic volatility models with jumps with M. Mrázek, J. Pospíšil, and T. Sobotka, Applied Stochastic Models in Business and Industry, Volume 33 (4), pp. 422-442, 2017.
  DOI: 10.1002/asmb.2248
• Analyticity in time and space for a semilinear Cauchy problem, Dissertation, University of Rostock, 2016.

Preprints

• Monontone iteration scheme for nonlinear PDEs in risk models with J. Pospíšil and V. Švígler.
  arXiv: 2306.17320

Book chapter

• An application to mathematical finance: one-integral formulas for option pricing, accepted for publication.

2025

• Forschung trifft Kommune: Das Verbundprojekt SPOC-AI at the Bürgermeister*innendialog of the Rostock region in Teterow

2023

• Fučík systems for Dirichlet and Neumann boundary conditions at the 2nd UNC Greensboro Partial Differential Equations Conference (Virtual Conference) of the University of North Carolina in Greensboro (North Carolina, U.S.A.)
• Basis properties of Fučík eigenfunctions for Dirichlet and Neumann boundary conditions at the Marseille-Toulouse-Rostock Meetings on PDE's at CIRM in Toulouse (France)
• Pricing options with self-financing portfolios - a heuristic approach at the University of West Bohemia in Pilsen (Czech Republic)

2022

• The PDE approach in Stochastic Finance at the University of West Bohemia in Pilsen (Czech Republic)

2021

• PDEs in Mathematical Finance in the Seminar of the Institute of Mathematics at the Ufa Federal Research Centre (Russia)
• Fučík systems and their basis properties in the Seminar on Complex and Harmonic Analysis at the Ufa Federal Research Centre (Russia)
• Basis properties of Fučík eigenfunctions at the UNC Greensboro Partial Differential Equations Conference (Virtual Conference) of the University of North Carolina in Greensboro (North Carolina, U.S.A.)
• Das Pascalsche Dreieck at the 16th Day of Mathematics at the University of Rostock
• Basis properties of Fučík eigenfunctions in the Analysis Seminar at the University of West Bohemia in Pilsen (Czech Republic)

2020

• A Galerkin-based method in weighted Sobolev spaces at the 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications in Atlanta (Georgia, U.S.A.) - postponed!
• Das Pascalsche Dreieck at the 16th Day of Mathematics at the University of Rostock - postponed!
• Solution of option pricing equations using polynomial expansion in the Analysis Seminar at the University of West Bohemia in Pilsen (Czech Republic)

2019

• Polynomial approximation for the Heston model at the Conference in honor of Peter Takáč 's birthday at the Université Toulouse 1 Capitole in Toulouse (France)

2018

• Complex Analysis in Finance in the Analysis Seminar at the University of West Bohemia in Pilsen (Czech Republic)
• A Galerkin-based pricing approach for financial derivatives at the conference Variational and Topological Methods: Theory, Methods and Numerical Simulations at the Northern Arizona University in Flagstaff (Arizona, U.S.A.)

2017

• Analyticity in time an space for a semilinear Cauchy problem in the Analysis Seminar at the University of West Bohemia in Pilsen (Czech Republic)
• Analyticity in time an space for a semilinear Cauchy problem at the 8th International Conference on Differential and Functional Differential Equations in the International Workshop: Differential Equations and Interdisciplinary Investigations at the People's Friendship University of Russia in Moscow (Russia)
• Analyticity in time an space for a semilinear Cauchy problem at the defense of the dissertation at the University of Rostock

2016

• Analyticity in time for an abstract nonlinear evolutionary problem at the 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications in Orlando (Florida, U.S.A.)
• Analyticity in time and space for a system of semilinear evolution equations with variable coefficients at the same conference
• Analyticity in time and space for a semilinear evolution equation at the conference XXX Seminar in Differential Equations in Ostrov (Czech Republic)

2015

• A unifying formula for stochastic volatility models with jumps in the Analysis Seminar at the University of West Bohemia in Pilsen (Czech Republic)
• A unifying formula for stochastic volatility models with jumps in the Research Colloquium on Applied Analysis and Partial Differential Equations at the University of Rostock

2014

• Analyticity for a semilinear evolution equation with variable coefficients at the 10th MSU Conference on Partial Differential Equations and Computational Simulations at the Mississippi State University in Starkville (Mississippi, U.S.A.)

2013

• Analyticity for bounded solutions of a semilinear evolution equation in the Research Colloquium on Applied Analysis and Partial Differential Equations at the University of Rostock
• Analyticity for a semilinear evolution equation at the Séminaire du CeReMath at the Université Toulouse 1 Capitole in Toulouse (France)

2012

• Pricing American options as a free boundary problem and regularity results at the 9th MSU-UAB Conference on Partial Differential Equations and Computational Simulations at the Mississippi State University in Starkville (Mississippi, U.S.A.)
• Pricing American options as a free boundary problem and regularity results at the Twelfth International Conference Zaragoza-Pau on Mathematics in the Residencia Universitaria de Jaca in Jaca (Spain)
• Analyticity of European options and market completion at the conference Rencontre des jeunes chercheurs Pau-Rostock-Toulouse an der Université Toulouse 1 Capitole in Toulouse (France)
• Transformation of the continuation region for American options in the Research Colloquium on Applied Analysis and Partial Differential Equations at the University of Rostock

2011

• Pricing American options as a free boundary problem in the Research Colloquium on Applied Analysis and Partial Differential Equations at the University of Rostock

Master theses

• Colin Buttchereit: Monotones Iterationsschema in Risikomodellen, 2024.
• Jan Raßfeld: Spektraleigenschaften des Hamiltonoperators für den harmonischen Oszillator in der Quantenmechanik, 2022.
• Jan Philipp Payonk: Nichtlineare Erweiterung des Black-Scholes-Modells unter Berücksichtigung von beidseitigen Ausfallrisiken und Finanzierungskosten, joint supervison with Prof. Dr. Peter Takáč, 2021.
• Erik Böning: Das Spektraltheorem für normale und kompakte Operatoren, joint supervison with Prof. Dr. Peter Takáč, 2020.
• Katarina Filipova: Solution of Option Pricing Equations Using Orthogonal Polynomal Expansion, joint supervison with Dr. Jan Pospíšil (University of West Bohemia), 2019.
• Cornelia Schmidt: Analytizität der Lösung der Black-Scholes-Gleichung und das Verhältnis zwischen Aktien- und Optionspreis, joint supervison with Prof. Dr. Peter Takáč, 2018.

Bachelor theses

• Raphael Demko: Basiseigenschaften von Fučíkeigenfunktionen, 2023.
• Colin Buttchereit: Das Goodwin-Modell des Konjunkturzyklus, 2022.
• Stefan Jedrzejak: Das Newton'sche Nährungsverfahren und die Variationsrechnung, joint supervison with Prof. Dr. Peter Takáč, 2019.
• Jan Raßfeld: Rieszscher Darstellungssatz, joint supervison with Prof. Dr. Peter Takáč, 2019.
• Jan Philipp Payonk: Konvolutionen in Lebesgue-Räumen und ihre Glättungseigenschaften, joint supervison with Prof. Dr. Peter Takáč, 2019.
• Anne-Marie Toparkus: Differentiation von Lebesgue-Integralen, joint supervison with Prof. Dr. Peter Takáč, 2019.
• Jette Hubinger: L^p-Räume und ihre Anwendung in der Biomathematik, joint supervison with Prof. Dr. Peter Takáč, 2019.
• Orell Trautmann: The Hardy Spaces of Holomorphic Functions on a Disc, joint supervison with Prof. Dr. Peter Takáč, 2019.

Teacher theses

• Jakub Lukasz Fröhlich: Darstellung quadratintegrierbarer Funktionen durch Fourierreihen und Rechteckschwingungen, 2019.
• Axel Meier: Die Hermiteschen und Laguerreschen Polynome und ihre Anwendungen in der Physik, 2018.

Winter term 2023/24

• Analysis I: Functions of one variable - Tutorials
• Integration theory - as assistant

Summer term 2023

• Analysis II: Functions of several variables (for Bachelor Mathematics) - Tutorials
• Analysis II: Functions of several variables (for Teaching and Physics) - Tutorials

Winter term 2022/23

• Analysis I: Functions of one variable - Tutorials
• Elementary partial differential equations - as assistant
• Teaching mobility (Erasmus+) at the University of West Bohemia

Summer term 2022

• Complex analysis - as assistant
• Teaching mobility (Erasmus+) at the University of West Bohemia

Winter term 2021/22

• Mathematics 3 for Engineers
• Analysis I: Functions of one variable - Tutorials
• Integration theory - as assistant

Summer term 2021

• Analysis II: Functions of several variables - Tutorials

Winter term 2020/21

• Analysis I: Functions of one variable - Tutorials
• Parabolic evolution equations - as assistant

Summer term 2020

• Parabolic differential equations in mathematical finance
  with two guest lectures by J. Pospíšil (University of West Bohemia)

Winter term 2019/20

• Functional analysis - Tutorials
• Analysis I: Functions of one variable - Tutorials
• Elementary partial differential equations - as assistant
• Teaching mobility (Erasmus+) at the University of West Bohemia

Summer term 2019

• Analysis II: Functions of several variables - Tutorials

Winter term 2018/19

• Analysis I: Functions of one variable - Tutorials
• Variational calculus and continuum mechanics - as assistant
• Teaching mobility (Erasmus+) at the University of West Bohemia

Summer term 2018

• Differential equations - Tutorials
• Analysis IV: Distributions, partial differential equations (for Physicists) - Tutorials
• Integration theory - as assistant
• Teaching mobility (Erasmus+) at the University of West Bohemia

Winter term 2017/18

• Analysis I: Functions of one variable - Tutorials
• Elementary partial differential equations - as assistant
• Complex analysis - als Hilfskraft

Summer term 2017

• Analysis II: Functions of several variables - Tutorials
• Analysis IV: Distributions, partial differential equations (for Physicists) - Tutorials
• Elementary partial differential equations (in Englisch) - as assistant
• Teaching mobility (Erasmus+) at the University of West Bohemia

Winter term 2016/17

• Analysis I: Functions of one variable - Tutorials

Summer term 2016

• Differential equations - Tutorials
• Analysis IV: Distributions, partial differential equations (for Physicists) - Tutorials

Winter term 2015/16

• Analysis I: Functions of one variable - Tutorials
• Mathematics for Engineers III - Tutorials
• Elementary partial differential equations - as assistant
• Complex analysis - as assistant
• Teaching mobility (Erasmus+) at the University of West Bohemia

Summer term 2015

• Analysis IV: Distributions, partial differential equations (for Physicists) - Tutorials
• Mathematics for Engineers II - Tutorials

Winter term 2014/15

• Mathematics for Engineers III - Tutorials

Summer term 2014

• Analysis IV: Distributions, partial differential equations (for Physicists) - Tutorials
• Mathematics for Engineers II - Tutorials
• Evolution equations - diffusion and waves - as assistant

Winter term 2013/14

• Mathematics für Engineers I - Tutorials
• Partial differential equations - as assistant
• Complex analysis - as assistant

Summer term 2013

• Analysis IV: Distributions, partial differential equations (for Physicists) - Tutorials
• Mathematics for Engineers II - Tutorials

Winter term 2012/13

• Complex analysis and Laplace transform (for Engineers) - Tutorials
• Partial differential equations - as assistant

Summer term 2012

• Mathematics for computer scientists II - Tutorials

Winter term 2011/12

• Complex analysis and Laplace Transform (for Engineers) - Tutorials
• Complex analysis - as assistant

Summer term 2011

• Analysis II - Tutorials

As student assistant

Summer term 2010

• Introduction to C++ - Tutorials

Winter term 2009/10

• Introduction to Maple - Tutorials

Summer term 2009

• Introduction to C++ - Tutorials

Winter term 2008/09

• Introduction to Maple - Tutorials
• Introduction to Maple (for Physcists) - Block seminar

Winter term 2007/08

• Introduction to Maple - Tutorials
• Introduction to Maple (for Physcists) - Block seminar