Personal Details

Family name, First name: Martikainen, Henri
Researcher ID: ORCID 0000-0002-5940-905X, Mathscinet ID 963282

Contact Information

Department of Mathematics
Washington University in St. Louis
CB 1146
One Brookings Drive
St. Louis, MO 63130–4899

Cupples I, Room 202
henri AT wustl.edu

Education

2012PhD
Department of Mathematics and Statistics, University of Helsinki, Finland
Supervised by Prof. T. Hytönen, Awarded with Distinction
2010MSc
Department of Mathematics and Statistics, University of Helsinki, Finland
2009BSc
Department of Mathematics and Statistics, University of Helsinki, Finland
2017Title of Docent, Mathematics
Department of Mathematics and Statistics, University of Helsinki, Finland
Academic Assessors: Prof. Steve Hofmann, Prof. Sergei Treil
Teaching Evaluation Grade: Excellent

Employment

7/2024–presentAssociate Professor of Mathematics (with tenure)
Department of Mathematics and Statistics, Washington University in St. Louis, USA
9/2021–7/2024Assistant Professor of Mathematics (tenure track)
Department of Mathematics and Statistics, Washington University in St. Louis, USA
2016–2021Academy Research Fellow
Department of Mathematics and Statistics, University of Helsinki, Finland
2013–2016Postdoctoral researcher of the Academy of Finland
Department of Mathematics and Statistics, University of Helsinki, Finland
2012–2013Postdoctoral researcher with grant from the Emil Aaltonen foundation
Département de Mathématiques d’Orsay, Université Paris-Sud 11, France
2012Postdoctoral researcher
Department of Mathematics and Statistics, University of Helsinki, Finland
2010–2012Doctoral student
Department of Mathematics and Statistics, University of Helsinki, Finland
2009Research assistant
Department of Mathematics and Statistics, University of Helsinki, Finland

Research Funding

Funding at WashU:

2023–2026National Science Foundation, Standard Grant, Analysis Program, NSF DMS-
2247234
, $209,206
2023-2028Simons Foundation, Travel Support for Mathematicians, $42,000

Funding at the University of Helsinki:
Total of 1.25 million EUR (1.45 million US dollars) in grants/fellowships as PI during 2012–2021

2019–2021Academy of Finland, Academy Research Fellow, research costs of the last two years, project number 327271, EUR 140,000
2019Finnish Academy of Science and Letters, The Magnus Ehrnrooth foundation and DOMAST, additional funding to organise the conference Harmonic Analysis and PDEs, EUR 17,500
2018–2020University of Helsinki, three-year research grant, project number 75160010, EUR 150,000
2016–2021Academy of Finland, Academy Research Fellow, project number 294840, EUR 434,485 (salary of the PI)
2016–2019Academy of Finland, Academy Research Fellow, research costs of the first three years, project number 306901, EUR 204,485
2013–2016Academy of Finland, postdoctoral researcher, project number 266262, EUR 260,110
2012–2013The Emil Aaltonen Foundation, Postdoc grant, Université Paris-Sud, EUR 33,000

Publications

37 refereed journal articles and multiple arXiv preprints on Harmonic Analysis and Geometric Measure Theory. Roughly 750 citations in Google Scholar with h-index 16. Roughly 350 citations by 150 authors in Mathscinet.

Top 10 publications

  1. T. Hytönen, K. Li, H. Martikainen, E. Vuorinen, Multiresolution analysis and Zygmund dilations, American Journal of Mathematics, to appear, 2023.
  2. K. Li, H. Martikainen, E. Vuorinen, Genuinely multilinear weighted estimates for singular integrals in product spaces, Advances in Mathematics 393 (2021) 108099.
  3. E. Airta, T. Hytönen, K. Li, H. Martikainen, T. Oikari, Off-diagonal estimates for bi-commutators, International Mathematics Research Notices 2022 (23) (2022).
  4. F. Di Plinio, K. Li, H. Martikainen, E. Vuorinen, Multilinear singular integrals on non-commutative Lp spaces, Mathematische Annalen 378 (2020) 1371–1414.
  5. K. Li, H. Martikainen, E. Vuorinen, Bilinear Calderón–Zygmund theory on product spaces, Journal de Mathématiques Pures et Appliquées 138 (2020) 356–412.
  6. T. Hytönen, H. Martikainen, E. Vuorinen, Multi-parameter estimates via operator-valued shifts, Proceedings of the London Mathematical Society 119 (6) (2019) 1560–1597.
  7. H. Martikainen, E. Vuorinen, Dyadic-probabilistic methods in bilinear analysis, Memoirs of the American Mathematical Society 274 (1344) (2021).
  8. H. Martikainen, T. Orponen, Characterising the big pieces of Lipschitz graphs property using projections, Journal of the European Mathematical Society 20 (5) (2018) 1055–1073.
  9. M. Lacey, H. Martikainen, Local Tb theorem with L2 testing conditions and general measures: Calderón–Zygmund operators, Annales scientifiques de l’École normale supérieure 49 (1) (2016) 57–86.
  10. H. Martikainen, Representation of bi-parameter singular integrals by dyadic operators, Advances in Mathematics 229 (3) (2012) 1734–1761.

Supervision Experience

PhD Students: 4José Issa Barbara, WashU, 2024–
Emil Airta, University of Helsinki, 2018–2022
Tuomas Oikari, University of Helsinki, 2018–2022
Emil Vuorinen, University of Helsinki, 2015–2017
Postdocs: 1Emil Vuorinen, University of Helsinki, 2017–2018 & 2020–2021
Master’s students: 3Emil Airta (2018), Tuomas Oikari (2018), Joonas Taivainen (2016)

Supervising undergraduate research at WashU: 2x Honors Thesis completed with both students receiving Highest Honors distinction. Supervised 1x Freiwald Scholar.

Undergraduate research at U Helsinki: supervised 1 Bachelor’s thesis.

Funding application mentor: Multiple postdocs have received funding either from the Foundations’ Post Doc Pool or from the the Academy of Finland under my guidance. Total money granted > EUR 1M.

Teaching

Teaching at WashU:

2024, Fall5051 Measure Theory and Functional Analysis I
2024, Spring5022 Complex Analysis II
2023, Fall5021 Complex Analysis I
523 Topics in Analysis: Sobolev Spaces and PDE
2023, Spring5052 Measure Theory and Functional Analysis II
2022, Fall5051 Measure Theory and Functional Analysis I
415 Partial Differential Equations
2022, Spring4121 Introduction to Lebesgue Integration
132 Calculus II

Lecture notes from WashU: 4121 Introduction to Lebesgue Integration, 5051 Measure Theory and Functional Analysis I

Guido L. Weiss Teaching & Service Award for excellence in the teaching of mathematics and statistics, WashU 2023

Teaching at the University of Helsinki:

2021, SpringMaster’s thesis seminar (5 ECTS credits)
2019, SpringFourier analysis I (5 ECTS credits)
2019, FallReal analysis I (5 ECTS credits)
2017, SpringGeometric measure theory and singular integrals (5 ECTS credits)
2015, FallHarmonic analysis and square functions (5 ECTS credits)

Lecture notes from U Helsinki: Real Analysis I, Fourier Analysis I, Harmonic analysis and square functions.

Teaching Evaluation Grade from the University of Helsinki: Excellent (see also Title of Docent above). Two courses in university pedagogy (2011, 2019).

Development of teaching: part of a group developing and planning several master level analysis courses at the University of Helsinki.

Professional Service

2024Organized the Early Career Morning Sessions, April 13-14, 2024
2023-2024Member of the thesis committee of Georgios Tsikalas (3/28/24) and Fragkos Anastasios (5/7/24)
2023-2024Member of the Colloquium and Special Lectures Committee of the Math department
2022-2023Member of the thesis committee of Weiyan (Claire) Huang (6/30/23)
2022-2023Member of the Math & Stat Hiring Committee at WashU
2022-2023Member of the Math & Stat Graduate Committee at WashU
2021–2022Member of the Math & Stat Undergraduate Committee at WashU
2021-2022Member of the thesis committee of Tyler Williams (12/10/21), Christopher Felder (4/6/22) and Nathan Wagner (4/7/22) at WashU
2020Organizer of the Harmonic Analysis session at the Finnish Mathematical Days
2019Member of the PhD committee of Carmelo Puliatti, PhD student of Xavier Tolsa and Joan Verdera. Defence of the dissertation: UAB, Barcelona, 11 December 2019
2019Main organizer (with M. Mourgoglou and F. Di Plinio) of the conference Harmonic
Analysis & PDEs
, University of Helsinki, 3-7 June 2019; over 100 participants
2018–2020Organizer of the Harmonic Analysis Seminar at the University of Helsinki

Invited Talks

  1. IWOTA 2023, 34th International Workshop on Operator Theory and its Applications, Harmonic Analysis Session, University of Helsinki, July 31–August 4, 2023.
  2. Harmonic Analysis, PDEs, and GMT in Bilbao 2023, Bilbao, Spain, June 12–16, 2023.
  3. Partial Differential Equations and Complex Analysis (to honor the 70th birthday of Steven G. Krantz), Washington University in St. Louis, May 22–23, 2023.
  4. Geometric Measure Theory and Applications, Cortona, Italy, August 30–September 3, 2021.
  5. Colloquium, Washington University in St. Louis, December 5, 2019.
  6. Summer School on Dyadic Harmonic Analysis, Martingales, and Paraproducts, Bazaleti, Georgia, September 2–6, 2019. A minicourse of 5 lectures.
  7. ICM 2018 Satellite Conference in Harmonic Analysis, Federal University of Rio Grande do Sul, Brazil, July 24–29, 2018.
  8. The International Workshop on Singular Integral Operators, Chern Institute of Mathematics, Nankai University, China, July 3–6, 2018.
  9. 2nd Bilbao meeting on analysis and PDEs, BCAM, Bilbao, May 3–5, 2017.
  10. Sectional AMS meeting in Albuquerque, University of New Mexico, Albuquerque, April 4–6, 2014.
  11. Research Term on Real Harmonic Analysis and Applications to PDE, ICMAT, Madrid, April– June 2013.
  12. Workshop on Singular Integrals, Randomness and Weights, University of Helsinki, August 29–31, 2012.
  13. Harmonic Analysis Meeting (ANR FRAB Meeting 2012), Université Paul Sabatier, Toulouse, May 23–25, 2012.
  14. Analysis and Partial Differential Equations (in honor of Eric Sawyer), Fields Institute, Toronto, July 26–29, 2011.

Multiple talks in weekly analysis seminars and similar: Lund University, Massachusetts Institute of Technology (MIT), Georgia Institute of Technology, Université Paris-Sud 11, Michigan State University, University of Helsinki, University of Jyväskylä, Aalto University.