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I studied Mathematics and Computer Science and obtained a PhD from the Institute of Science and Technology Austria (IST) in 2015. After two years as a postdoctoral researcher at Technical University Munich (TUM) I joined Queen's University Belfast as a Lecturer for Applied Mathematics in 2017. I am working on the intersection of Mathematics and Computer Science with research expertise in topological data analysis, stochastic geometry, random number generation and discrete mathematics as well as industry experience in data analysis and software development. Furthermore I have vast experience in teaching and project supervision in higher education and hold Certificates for Teaching in Higher Education from the UK (PGCHET) as well as from Germany (Zertifikat für Hochschullehre).
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Identification

Personal identification

Full name
Florian Pausinger

Citation names

  • Pausinger, Florian

Author identifiers

Ciência ID
6911-8314-AA23
ORCID iD
0000-0002-8379-3768

Knowledge fields

  • Exact Sciences - Mathematics - Applied Mathematics
  • Exact Sciences - Mathematics - Applied Mathematics
  • Exact Sciences - Mathematics - Pure Mathematics
  • Exact Sciences - Computer and Information Sciences - Computer Sciences
  • Exact Sciences - Mathematics - Applied Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
German (Mother tongue)
English Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
Portuguese Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2)
Education
Degree Classification
2019/12/04
Concluded
 PGCHET (Postgraduate Certificate)
Queen's University Belfast, United Kingdom
2017/09/01
Concluded
 Zertifikat für Hochschullehre Bayern (Postgraduate Certificate)
Technische Universität München Fakultät für Informatik, Germany
2011/10/01 - 2015/06/08
Concluded
 Interdisciplinary PhD program (Doktor (PhD))
Institute of Science and Technology Austria, Austria
2008/10/01 - 2011/06/04
Concluded
 Mathematics (Master)
Paris Lodron Universität Salzburg, Austria
2005/10/01 - 2008/09/30
Concluded
 Mathematics (Bachelor (1st cycle))
Paris Lodron Universität Salzburg Natur- und Lebenswissenschaftliche Fakultät, Austria
Affiliation

Science

Category
Host institution 		Employer
2022/10/01 - Current Visiting Researcher (Research) Queen's University Belfast, United Kingdom
2015/10/01 - 2017/08/31 Postdoc (Research) Technische Universität München Fakultät für Informatik, Germany

Teaching in Higher Education

Category
Host institution 		Employer
2024/09/01 - Current Invited Assistant Professor (University Teacher) Universidade de Lisboa, Portugal
2017/10/01 - 2022/09/30 Assistant Professor (University Teacher) Queen's University Belfast, United Kingdom
Outputs

Publications

Book
  1. Edelsbrunner, H.; Pausinger, F.. Stable length estimates of tube-like shapes. 2013.
Book chapter
  1. F. Beutenmüller; B. Dierolf; M. Keckeisen; F. Pausinger; P. K. S. Vaudrevange. "Topological Data Analysis in Automotive Industry". 2023.
    10.1007/978-3-658-42048-2_4
  2. Pausinger, Florian; Topuzoglu, Alev. "Permutations of finite fields and uniform distribution modulo 1". In Algebraic Curves and Finite Fields, 145-160. DE GRUYTER, 2014.
    10.1515/9783110317916.145
Journal article
  1. Florian Pausinger; David Petrecca. "Symmetry groups and deformations of sums of exponentials". Communications in Mathematics (2025): http://dx.doi.org/10.46298/cm.13932.
    10.46298/cm.13932
  2. Dimitris Vartziotis; George Dasoulas; Florian Pausinger. "L earn 2E xtend : Extending Sequences by Retaining their Statistical Properties with Mixture Models". Experimental Mathematics (2024): https://doi.org/10.1080/10586458.2024.2362351.
    10.1080/10586458.2024.2362351
  3. Pausinger, Florian. "On the expected L2-discrepancy of stratified samples from parallel lines". Uniform Distribution Theory (2024):
    Accepted
  4. Clément, François; Kirk, Nathan; Pausinger, Florian. "Partitions for stratified sampling". Monte Carlo Methods and Applications 0 0 (2024): http://dx.doi.org/10.1515/mcma-2023-2025.
    10.1515/mcma-2023-2025
  5. Pausinger, Florian; Dimitris Varziotis. "On weighted sums of two exponentials". Mathematics Magazine (2023):
    Accepted
  6. Kirk, Nathan; Pausinger, Florian. "On the Expected L2–Discrepancy of Jittered Sampling". Uniform distribution theory 18 1 (2023): 65-82. http://dx.doi.org/10.2478/udt-2023-0005.
    Published • 10.2478/udt-2023-0005
  7. Kiderlen, Markus; Pausinger, Florian. "On a partition with a lower expected L2-discrepancy than classical jittered sampling". Journal of Complexity 70 (2022): 101616. http://dx.doi.org/10.1016/j.jco.2021.101616.
    10.1016/j.jco.2021.101616
  8. Ana I. Gomez; Markus Kiderlen; Florian Pausinger. "Improved entropy bounds for parity filtered self-timed ring based random number generators". Information Processing Letters (2022): https://doi.org/10.1016/j.ipl.2021.106212.
    10.1016/j.ipl.2021.106212
  9. Markus Kiderlen; Florian Pausinger. "Discrepancy of stratified samples from partitions of the unit cube". Monatshefte für Mathematik (2021): https://doi.org/10.1007/s00605-021-01538-4.
    10.1007/s00605-021-01538-4
  10. Pausinger, Florian; Vartziotis, Dimitris. "On the symmetry of finite sums of exponentials". Elemente der Mathematik 76 2 (2021): 62-73. http://dx.doi.org/10.4171/em/446.
    10.4171/em/446
  11. Florian Pausinger. "Greedy energy minimization can count in binary: point charges and the van der Corput sequence". Annali di Matematica Pura ed Applicata (1923 -) 200 1 (2021): 165-186. https://doi.org/10.1007/s10231-020-00990-7.
    10.1007/s10231-020-00990-7
  12. Florian Pausinger. "Long shortest vectors in low dimensional lattices". Discrete Mathematics 343 12 (2020): 112138-112138. https://doi.org/10.1016/j.disc.2020.112138.
    10.1016/j.disc.2020.112138
  13. Gomez-Perez, Domingo; Gonzalez-Villa, Javier; Pausinger, Florian. "ESTIMATION OF VOLUME USING THE NUCLEATOR AND LATTICE POINTS". Image Analysis & Stereology 38 2 (2019): 141. http://dx.doi.org/10.5566/ias.2012.
    10.5566/ias.2012
  14. Pausinger, Florian. "On the Intriguing Search for Good Permutations". Uniform distribution theory 14 1 (2019): 53-86. http://dx.doi.org/10.2478/udt-2019-0005.
    10.2478/udt-2019-0005
  15. Pausinger, F.. "Uniformly distributed sequences in the orthogonal group and on the Grassmannian manifold". Mathematics and Computers in Simulation 160 (2019): 13-22. http://www.scopus.com/inward/record.url?eid=2-s2.0-85058562703&partnerID=MN8TOARS.
    10.1016/j.matcom.2018.11.022
  16. Pausinger, F.; Steinerberger, S.. "Heating a Torus with Number Theory". Mathematics Magazine 92 2 (2019): 99-106. http://www.scopus.com/inward/record.url?eid=2-s2.0-85063647636&partnerID=MN8TOARS.
    10.1080/0025570X.2018.1546507
  17. Pausinger, Florian; Topuzoglu Alev. "On the Discrepancy of Two Families of Permuted Van der Corput Sequences". Uniform distribution theory (2018): http://dx.doi.org/10.1515/udt-2018-0003.
    10.1515/udt-2018-0003
  18. Aistleitner, C.; Lachmann, T.; Pausinger, F.. "Pair correlations and equidistribution". Journal of Number Theory 182 (2018): 206-220. http://www.scopus.com/inward/record.url?eid=2-s2.0-85025833449&partnerID=MN8TOARS.
    10.1016/j.jnt.2017.06.009
  19. Pausinger, F.; Rachh, M.; Steinerberger, S.. "Optimal Jittered Sampling for two points in the unit square". Statistics and Probability Letters 132 (2018): 55-61. http://www.scopus.com/inward/record.url?eid=2-s2.0-85042147772&partnerID=MN8TOARS.
    10.1016/j.spl.2017.09.010
  20. Pausinger, F.. "Bounds for the traveling salesman paths of two-dimensional modular lattices". Journal of Combinatorial Optimization 33 4 (2017): 1378-1394. http://www.scopus.com/inward/record.url?eid=2-s2.0-85028247034&partnerID=MN8TOARS.
    10.1007/s10878-016-0043-7
  21. Aistleitner, C.; Pausinger, F.; Svane, A.M.; Tichy, R.F.. "On functions of bounded variation". Mathematical Proceedings of the Cambridge Philosophical Society 162 3 (2017): 405-418. http://www.scopus.com/inward/record.url?eid=2-s2.0-84979999766&partnerID=MN8TOARS.
    10.1017/S0305004116000633
  22. Pausinger, F.. "An Accurate Heuristic for a Problem of Shparlinski". Experimental Mathematics 26 1 (2017): 72-76. http://www.scopus.com/inward/record.url?eid=2-s2.0-84978971376&partnerID=MN8TOARS.
    10.1080/10586458.2015.1116117
  23. Pausinger, Florian. "Lattices modulo $N$ with long shortest distances". Elemente der Mathematik 72 3 (2017): 111-121. http://dx.doi.org/10.4171/em/333.
    10.4171/em/333
  24. Pausinger, F.; Steinerberger, S.. "On the discrepancy of jittered sampling". Journal of Complexity 33 (2016): 199-216. http://www.scopus.com/inward/record.url?eid=2-s2.0-84959375801&partnerID=MN8TOARS.
    10.1016/j.jco.2015.11.003
  25. Edelsbrunner, H.; Pausinger, F.. "Approximation and convergence of the intrinsic volume". Advances in Mathematics 287 (2016): 674-703. http://www.scopus.com/inward/record.url?eid=2-s2.0-84945970681&partnerID=MN8TOARS.
    10.1016/j.aim.2015.10.004
  26. Pausinger, F.; Steinerberger, S.. "On the distribution of local extrema in Quantum Chaos". Physics Letters, Section A: General, Atomic and Solid State Physics 379 6 (2015): 535-541. http://www.scopus.com/inward/record.url?eid=2-s2.0-84921261005&partnerID=MN8TOARS.
    10.1016/j.physleta.2014.12.010
  27. Pausinger, F.; Svane, A.M.. "A Koksma-Hlawka inequality for general discrepancy systems". Journal of Complexity 31 6 (2015): 773-797. http://www.scopus.com/inward/record.url?eid=2-s2.0-84942831403&partnerID=MN8TOARS.
    10.1016/j.jco.2015.06.002
  28. Edelsbrunner, H.; Pausinger, F.. "Stable length estimates of tube-like shapes". Journal of Mathematical Imaging and Vision 50 1 (2014): 164-177. http://www.scopus.com/inward/record.url?eid=2-s2.0-85027946127&partnerID=MN8TOARS.
    10.1007/s10851-013-0468-x
  29. Pausinger, F.. "Van der Corput Sequences and Linear Permutations". Electronic Notes in Discrete Mathematics 43 (2013): 43-50. http://www.scopus.com/inward/record.url?eid=2-s2.0-84883340962&partnerID=MN8TOARS.
    10.1016/j.endm.2013.07.008
  30. Pausinger, F.. "Weak multipliers for generalized van der Corput sequences". Journal de Theorie des Nombres de Bordeaux 24 3 (2012): 729-749. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872764995&partnerID=MN8TOARS.
    10.5802/jtnb.819
  31. Pausinger, F.. "Elementary solutions of the bernstein problem on two intervals". Journal of Mathematical Physics, Analysis, Geometry 8 1 (2012): 63-78. http://www.scopus.com/inward/record.url?eid=2-s2.0-84883817187&partnerID=MN8TOARS.
  32. Pausinger, Florian; Schmid, W.Ch.. "A lower bound for the diaphony of generalised van der Corput sequences in arbitrary base b". Uniform Distribution Theory 6 2 (2011): 31-46.
    Published
  33. Pausinger, F.; Schmid, W.Ch.. "A good permutation for one-dimensional diaphony". Monte Carlo Methods and Applications 16 3-4 (2010): 307-322. http://www.scopus.com/inward/record.url?eid=2-s2.0-84858398287&partnerID=MN8TOARS.
    10.1515/MCMA.2010.015
Preprint
  1. Pausinger, Florian; Vartziotis, Dimitris; Dasoulas, Georgios. "LEARN2EXTEND: Extending sequences by retaining their statistical properties with mixture models". 2023.
  2. Pausinger, Florian; Ulrich Bauer. "Persistent Betti numbers of random Cech complexes". 2018.
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2019/10/01 - 2023/05/31 Several Problems in Discrepancy Theory: Lower Bounds and Stratified Sampling
Supervisor
Queen's University Belfast, United Kingdom
2021/10/01 - 2022/05/01 Random Number Generators and How to Test Them
Supervisor
Queen's University Belfast, United Kingdom
2021/10/01 - 2022/04/30 The Relative Szemeredi Theorem
Supervisor
Queen's University Belfast, United Kingdom
2020/10/01 - 2021/04/15 The Conjecture of Zaremba
Supervisor
Queen's University Belfast, United Kingdom
2020/10/01 - 2021/04/15 Computational Topology and its methods
Supervisor
Queen's University Belfast, United Kingdom
2019/10/01 - 2020/05/31 Computational Geometry
Supervisor
Queen's University Belfast, United Kingdom
2019/10/01 - 2020/05/15 Computational Topology
Supervisor
Queen's University Belfast, United Kingdom

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2023/06/08 - Current Organisation of special session "Sampling Schemes: Quality Measures, Point generation and Applications" at MCM 2023 (2023/06/08)
2022/07/05 - Current Organisation of sepcial session "Random Points: Generation, Quality Criteria and Applications" at MCQMC 2022 (2022/07/05)
2018/11/03 - Current One day workshop on topological data analysis. Funded by the LMS. (2018/11/03) Queen's University Belfast, United Kingdom
2017/09/14 - Current Organisation of Minisymposium M8 with 11 speakers from the field of persistent topology. (2017/09/14)
Conference

Conference scientific committee

Conference name Conference host
2018/09/10 - Current Workshop on Image Analysis and Stereology University of Cantabria
Distinctions

Award

2014 Golden Sponge Award
Institute of Science and Technology Austria, Austria
2013 Golden Sponge Award
Institute of Science and Technology Austria, Austria
2012 Hans Stegbuchner Preis
Paris Lodron Universität Salzburg, Austria