Philipp di Dio

2005  Abitur
- book price of the Germany Physical Sciety DPG

2005-2008  Chemistry, Bachelor of Science (B.Sc.), University of Leipzig
- member of the student council (Fachschaftsrat and Studentenrat)
- absence: 04/2007-03/2008
- Bachelor thesis

2008-2013  Mathematics, Diploma (Dipl.-Math.), University of Leipzig
- Diploma thesis under supervison of Konrad Schmüdgen

2014-2018  Mathematics, PhD (Dr. rer. nat.), University of Leipzig
- PhD Scholarship of the Max Planck Institute for Mathematics in the Sciences
- Thesis: The truncated Moment Problem
- supervisor: Konrad Schmüdgen (Wiki)
- second referee: Claus Scheiderer

2018-2021  Mathematics, PostDoc, Technical University Berlin
- supervisor: Mario Kummer

2019  Lecturer Replacement, University of Greifswald
- Lecture: Mathematics II, Analysis, for Biochemists
- supervisor: Mareike Fischer

2021-2022  Mathematics, PostDoc, LAAS-CNRS Toulouse
- supervisor: e.g. Jean-Bernard Lasserre (Wiki)

since 2022  Research Group Leader, University of Konstanz
- Fellow of the Zukunftskolleg Konstanz
- Lectures:
   - 2022 The Theory of Moments, Mathematics
   - 2024 An Introduction to T-Systems, Mathematics
   - 2024 Anaylsis & Linear Algebra, Computer Scientists
- Conferences:
   - 2024 Moments and Polynomials: Application and Theory (MoPAT-24)
- Summe/Winter Schools:
   - 2025 Moments, Non-Negative Polynomials, and Algebraic Statistics

2019 Summer University of Greifswald

Mathematik II - Analysis
- for Biochemists
- slides

2022/23 Winter University of Konstanz

The Theory of Moments and Applications
- for bachelor, master, PhDs in mathematics and computer science
- script

2024 Summer University of Konstanz

An Introduction to T-Systems with a Special Emphasis on Sparse Moment Problems and Sparse Positivstellensätze
- for master and PhDs in mathematics and computer science
- script

Analysis & Lineare Algebra
- bachelor students, 2nd semester, computer science
- slides
- Literature: S. Hildebrandt: Analysis 1 (eBook), G. Fischer + B. Springborn: Lineare Algebra (eBook)
- Klausureinsicht Nachklausur: Montag, 11.11.24, 13-15Uhr

• since 09/2022 Nachwuchswissenschaftler (Research Group Leader) status: Right to supervise PhD students (Promotionsrecht) and to give lectures (Lehrrecht) in mathematics
• 01/2023 - 04/2023 PostDoc
• since 12/2023 PhD student

Mathematics

• On positivity preservers with constant coefficients and their generators J. Alg. 660 (2024) 882-907
• with R. E. Curto: Time-dependent moments from the heat equation and a transport equation Int. Math. Res. Not. 17 (2023) 14955-14990
• Transformations of Moment Functionals Int. Eq. Op. Theory 95 (2023) 2, 29 pages
• The multidimensional truncated moment problem: Gaussian mixture reconstruction from derivatives of moments J. Math. Anal. Appl. 517 (2023) 126592, 27 pages
• with K. Schmüdgen: The multidimensional truncated Moment Problem: The Moment Cone J. Math. Anal. Appl. 511 (2022) 126066, 38 pages
• with M. Kummer: The multidimensional truncated Moment Problem: Carathéodory Numbers from Hilbert Functions Math. Ann. 380 (2021) 267-291
• The multidimensional truncated Moment Problem: Gaussian and Log-Normal Mixtures, their Carathéodory Numbers, and Set of Atoms Proc. Amer. Math. Soc. 147 (2019) 3021-3038
• with K. Schmüdgen: The multidimensional truncated Moment Problem: Atoms, Determinacy, and Core Variety J. Funct. Anal. 274 (2018) 3124-3148
• with K. Schmüdgen: The multidimensional truncated Moment Problem: Carathéodory Numbers J. Math. Anal. Appl. 461 (2018) 1606-1638
• with K. Schmüdgen: Truncated Moment Problem: Set of Atoms and Carathéodory Numbers, Oberwolfach Reports 14 (2017) 77-79

Chemistry

• Thermal Stability of Water up to Super-Critical States: Application of the Singular Value Decomposition and Grund Functions J. Mol. Liq. 187 (2013) 207-217
• with B. Kirchner, J. Hutter: Real-World Predictions from Ab Initio Molecular Dynamics Simulations Top. Curr. Chem. 307 (2012) 109-154
• with M. Brüssel, K. Muniz, R. S. Ray, S. Zahn, B. Kirchner: Pd-N to Pd-O Rearrangement for a Carbamate Synthesis from Carbon Dioxide and Methane: A Density Functional and Ab Initio Molecular Dynamics Metadynamics Study Angew. Chemie Int. Ed. 2011 (2011) A40-A45
• with M. Brehm, B. Kirchner: Singular Value Decomposition for Analyzing Temperature- and Pressure-Dependent Radial Distribution Functions: Decomposition into Grund RDFs (GRDFs) J. Chem. Theory Comput. 7 (2011) 3035-3040
• with M. Brüssel, K. Muniz, B. Kirchner: Comparison of Free Energy Surfaces Calculations from Ab Initio Molecular Dynamic Simulations at the Example of Two Transition Metal Catalyzed Reactions Int. J. Mol. Sci. 12 (2011) 1389-1409
• with S. Zahn, C. B. W. Stark, B. Kirchner: Understanding Selectivities in Ligand-free Oxidative Cyclizations of 1,5- and 1,6-Dienes with RuO4 from Density Functional Theory Z. Naturforsch. 65b (2010) 367-375

Preprints

ArXiv: di Dio, P

• PhD grant of the Max Planck Institute for Mathematics in the Sciences MPI MIS; Leipzig (single applicant)
• DFG grant DI 2780/2-1 (single applicant/principal investigator)
• 5-year Research Fellowship at the Zukunftskolleg, Uni Konstanz (single applicant)
• multiple travel supports of the Zukunftskolleg (single applicant)
• conference support for MoPAT-24 (joint with Tobias Sutter)
• Senior Fellow Ship for Konrad Schmüdgen (single applicant)

• 2006-07: member of the student councel of the Chemistry Department (Fachschaftsrat), Uni Leipzig
• 2006-07: member of the student councel of the University of Leipzig (Studentenrat), Uni Leipzig
• since 2023: member of the Fachbereichsrat of the Fachbereich Mathematik & Statistik, Uni Konstanz
• since 2023: member of the Ständige Prüfungskomission of the Fachbereich Mathematik & Statistik, Uni Konstanz
• since 2023: member of the Excecutive Committee of the Zukunftskolleg, Zukunftskolleg, Uni Konstanz

• Complex Analysis and Operator Theory
• Constructive Approximation
• Journal of the London Mathematical Society
• Journal of Symbolic Computation
• Handbook of Numerical Analysis
• Mathematical Reviews
• Mathematics
• Mathematische Annalen
• SIAM Journal on Applied Algebra and Geometry
• Studies in Applied Mathematics

MoPAT-24 Moments and Polynomials: Application and Theory

• 11th - 14th March 2024
• main organizer: Philipp di Dio, co-organizer: Tobias Sutter
• invited speaker: Hamza Fawzi, Jean-Bernard Lasserre, Monique Laurent, Tim Netzer, Konrad Schmüdgen, Markus Schweighofer, Jan Stochel
• 42 participants from 10 different countries
• 31 talks
• excursion: Hohentwiel
• conference dinner: Island of Mainau

Winter School 2025: Moments, Non-Negative Polynomials, and Algebraic Statistics

• 17th - 21st February 2025
• organizer: Philipp di Dio