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Intro
My research is focused on mathematical modelling, analysis, and numerical simulations of systems arising from the natural sciences.
- Research: Mathematical Biology, Reaction Diffusion Systems, PDE with Delays, Scientific Computing
Interesting Events
- 18-22.05.2026: ESGI European Study Group for Industry, Danmarks Tekniske Universitet, DK
- 01-12.06.2026: CIMPA-Simons Foundation Collaborative Workshop, Silpakorn University, TH
- 15-19.06.2026: BIOMAT 2026, Universidad de Granada, SP
- 06-10.07.2026: 15th AIMS Conference, Athens, GR
- 13-17.07.2026: 14th European Conference on Mathematical & Theoretical Biology, Karl-Franzens-Universität Graz, AT
- 19-24.07.2026: XLVI Dynamics Days Europe 2026 (DDE 2026), Universidade NOVA de Lisboa, PT
- 08-11.09.2026: Mathematical Approaches to Spatial Biology, Durham University, UK
- 04-11.09.2026: SEAMS 2026 School on Applying mathematics to real-world problems, University of Science, Viet Nam National University, VN
About Me
Currently
Starting 01. May 2026, postdoc with Univ.-Assoc.Prof. Dr.in Cordula Reisch at the Department of Science and Environment -- Mathematics and Physics, Roskilde University, Denmark.
Previously
Starting 17. Nov 2025, postdoc with Univ.-Prof. Dipl.-Ing. Dr.techn. Klemens Fellner at the Department of Mathematics and Scientific Computing, University of Graz, Austria.
Previously
PhD Mathematics student at the University of Graz, Austria under the International Research Training Group Munich - Graz (IGDK 1754) Optimization and Numerical Analysis of Partial Differential Equations with Nonsmooth Structures, funded by the German Research Foundation (DFG) and Austrian Science Fund (FWF). Supervised by Univ.-Prof. Dipl.-Ing. Dr.techn. Klemens Fellner at Uni Graz and Univ.-Prof. Dr.rer.nat. habil. Thomas Apel at the Bundeswehr Uni Munich.
Teaching
University of Graz (2019 - 2026)
1 SSt exercise course corresponds to 1.5 hours of class per week.
- MAJ.01091UB 24W 2SSt VU Mathematische Modellierung (Masters)
- MAB.04023UB 24S 2SSt UE Übungen zur Analysis 2 für LAK (Masters)
- MAT.401UB 23W 1SSt UE Advanced Analysis (Masters)
- MAT.495UB 23S 1SSt UE Calculus of Variations (Masters)
- MAT.208UB 22W 1SSt UE Numerische Mathematik 1 (Bachelors)
- MAT.407UB 21W 2SSt UE Nonlinear Optimisation (Masters)
University of the Philippines Baguio (2014-2019)
3 unit lecture course corresponds to 3 hours of class per week. Unless specified, all courses below are from the undergraduate curriculum.
- Semester 2, Academic Year 2018-2019
- Math 53 Elementary Analysis I, 5 units, lecture
- Math 54 Elementary Analysis II, 5 units, lecture
- Math 132 Real Analysis, 3 units, lecture
- Semester 1, Academic Year 2018-2019
- Math 53 Elementary Analysis I, 5 units, lecture
- Math 100 Introduction to Calculus, 4 units, lecture
- Math 123 Real Analysis, 3 units, lecture
- Math 130 Real Analysis, 3 uits, lecture
- Semester 2, Academic Year 2016-2017
- Math 101 Elementary Statistics, 3 units, lecture and exercise
- Math 182 Introduction to Computer Programming, 3 units, lecture and exercise
- Math 55 Elementary Analysis III, 3 units, lecture
- Semester 1, Academic Year 2016-2017
- Math 100 Introduction to Calculus, 4 units, lecture
- Math 225 Number Theory with Applications (Masters), 3 units, lecture
- Midyear, Academic Year 2015-2016
- Math 55 Elementary Analysis III, 3 units, lecture
- Semester 2, Academic Year 2015-2016
- Math 53 Elementary Analysis I, 5 units, lecture
- Math 54 Elementary Analysis II, 5 units, lecture
- Math 55 Elementary Analysis III, 3 units, lecture
- Semester 1, Academic Year 2015-2016
- Math 11 College Algebra, 3 units, lecture
- Math 14 Plane Trigonometry, 3 units, lecture
- Math 17 College Algebra and Plane Trigonometry, 5 units, lecture
- Math 29 Basic Concepts in Mathematics, 3 units, lecture
- Midyear, Academic Year 2014-2015
- Math 53 Elementary Analysis I, 5 units, lecture
- Semester 2, Academic Year 2014-2015
- Math 11 College Algebra, 3 units, lecture
- Math 53 Elementary Analysis I, 5 units, lecture
- Math 101 Elementary Statistics, 3 units, lecture and exercise
- Semester 1, Academic Year 2014-2015
- Math 11 College Algebra, 3 units, lecture
- Math 17 College Algebra and Plane Trigonometry, 5 units, lecture
- Math 100 Introduction to Calculus, 4 units, lecture
Materials
Links to lecture notes, slides, or github repositories.
Research Activities
Current Projects
- Lipolysis on Lipid Droplets: Modelling and Quasi-Steady-State-Approximations
- Fast reaction limit from the mass-action kinetics to the Michaelis-Menten kinetics at the finite volume level
- On the enzymology of mouse ATGL -- new insights from in vitro studies and mathematical modeling
Publications
- Thomas Apel, Klemens Fellner, Volker Kempf, Reymart Salcedo Lagunero*, Philipp Zilk. Lipolysis on Lipid Droplets: Mathematical Modelling and Numerical Discretisations. Results Math 81, 77 (2026)
DOI:10.1007/s00025-026-02639-y
*Corresponding Author
Preprints
Thesis
- PhD (2025) Lipolysis on Lipid Droplets: Mathematical Modelling, Analysis, and Numerical Discretisations.
Available Online at the University of Graz Library - MSc (2018) Well-posedness and Stability of Hyperbolic System of Partial Differential Equations with Delays.
Available Online at the University of the Philippines Library
Conferences
- Annual Convention - Mathematical Society of the Philippines, Zamboanga City, Philippines
Jun 2025: Isogeometric Analysis for Partial Differential Equations and Numerical Implementations in GeoPDEs - Dynamical Systems Applied to Biology and Natural Sciences, Naples, Italy
Jan 2025: **Best Poster Award** Lipolysis on Lipid Droplets: Modelling and Quasi-Steady-State-Approximations - Annual Convention - Mathematical Society of the Philippines, Tacloban City, Philippines
May 2024: Lipolysis on Lipid Droplets: Modelling, Quasi-Steady-State-Approximations, Numerical Simulations - Annual Convention - Mathematical Society of the Philippines, Quezon City, Philippines
Jun 2023: Hydrolysis of Lipids: Mathematical Modelling and Numerical Simulations - Dynamical Systems Applied to Biology and Natural Sciences, Bilbao, Spain
Feb 2023: Lipid Hydrolysis: Modelling, Analysis, and Numerical Simulations - Conference of Young Applied Mathematicians, Genoa, Italy
Sep 2022: Numerical Simulations of a Reaction-Diffusion System for a Lipid Hydrolysis Test Model - Annual Convention - Mathematical Society of the Philippines, Pampanga, Philippines
May 2018: Asymptotic stability of a system of hyperbolic partial differential equations damping and distributed delay - Annual Convention - Mathematical Society of the Philippines, Cebu City, Philippines
Jun 2016: Participant
Workshops/Research Schools
- CIMPA School on Mathematics for Medicine and Health Sciences, Silpakorn University, Thailand
May 2024: Participant and Presenter - Workshop on Mathematical Modeling and Scientific Computing (dedicated to the memory of Nikolai Botkin), TU Munich
Oct 2022: Virtual Participant and Presenter - Online Hausdorff School: Diffusive Systems: Pattern Formation, Bifurcations, and Biological Applications
Apr 2021: Virtual Participant - Mathematical Methods for the Study of Self-organization in the Biological Sciences, Erwin Schrödinger Institute, Vienna, Austria
Dec 2020: Virtual Participant - Midyear School on Mathematics: Research Capability Building Series, University of the Philippines Baguio
Jul 2017: Participant and Lecturer - Research School on the Mathematical Analysis of Differential Equations and Real-life Applications, National University of Laos, Vientiane, Lao PDR
Jan 2017: Organised by the South East Asian Mathematics Society (SEAMS) and funded by Centre International de Mathématiques Pures et Appliquées (CIMPA France) - Research School on Functional Analysis and Differential Equations, National University of Laos, Vientiane, Lao PDR
Dec 2016: Organised by the South East Asian Mathematics Society (SEAMS) and funded by Centre International de Mathématiques Pures et Appliquées (CIMPA France) - Summer School and Training on Graph Theory, University of the Philippines Baguio
Jun 2015: Participant
Curriculum Vitae
Education
- 10.2025 Dr.rer.nat. Universität Graz, Österreich (mit Auszeichnung bestanden/passed with distinction)
- 06.2018 MSc. University of the Philippines
- 04.2014 BSc. University of the Philippines (cum laude)
Selected positions
- Institut for Naturvidenskab og Miljø - Matematik og Fysik, Roskilde Universitet, Danmark
- 05.2026 - mm.yyyy Postdoc
- Institut für Mathematik und Wissenschaftliches Rechnen, Universität Graz, Österreich
- 11.2025 - 03.2026 University Assistant Postdoc (40hrs/week)
- 10.2024 - 03.2025 University Assistant Predoc (40hrs/week)
- 01.2024 - 06.2024 University Assistant Predoc (40hrs/week)
- 08.2019 - 08.2023 Project Assistant - PhD Student (30hrs/week)
- Department of Mathematics and Computer Science, University of the Philippines Baguio
- 08.2018 - 07.2019 University Assistant Professor 1 (Full-time)
- 08.2016 - 05.2017 Lecturer 1 (Part-time)
- 08.2014 - 07.2016 Instructor 1 (Full-time)
Download: CV PDF (Upon Request)
Extracurricular
LaTeX Test
Nonlinear PDE:
\[ \begin{cases} \partial_t u - d_u \Delta u = f(u,v), & x \in \Omega,\\ \partial_t v - d_v \Delta v = g(u,v), & x \in \Omega,\\ \partial_{n} u = \partial_{n} v = 0, & x \in \partial\Omega,\\ u(0,x) = u_{0}(x), & x \in \Omega,\\ v(0,x) = v_{0}(x), & x \in \Omega, \end{cases} \]
where \( f \) and \( g \) encode reaction kinetics such as Michaelis-Menten dynamics.