{{Short description|Dutch mathematician (1962–2022)}} {{Use dmy dates|date=January 2022}} {{Infobox scientist | name = Bas Edixhoven | image = Edixhoven.jpg | alt = <!-- descriptive text for use by speech synthesis (text-to-speech) software --> | caption = Edixhoven in 2008 | birth_name = Sebastiaan Johan Edixhoven | birth_date = {{Birth date|df=y|1962|03|12}} | birth_place = Leiden, Netherlands | death_date = {{Death date and age|df=y|2022|01|16|1962|03|12}} | death_place = | fields = Mathematics | workplaces = {{ubl|Leiden University|University of Rennes 1}} | alma_mater = Utrecht University | thesis_title = Stable Models of Modular Curves and Applications | thesis_url = https://websites.math.leidenuniv.nl/edixhoven/publications/1989/phd-thesis.pdf | thesis_year = 1989 | doctoral_advisor = Frans Oort | doctoral_students = {{ill|Andrei Yafaev|de}} | known_for = | awards = }}
'''Sebastiaan Johan Edixhoven''' (12 March 1962<ref name="Leiden-obit"/><ref name="CV"/> – 16 January 2022<ref name="Leiden-obit"/><ref name="CIMPA-obit">{{cite web |url=https://www.cimpa.info/en/node/7180 |title=In Memoriam: The Passing of Bas Edixhoven |access-date=5 February 2022 |website=Centre International de Mathématiques Pures et Appliquées}}</ref>) was a Dutch mathematician who worked in arithmetic geometry. He was a professor at University of Rennes 1 and Leiden University.<ref>{{Cite web |date=2022-01-19 |title=In Memoriam - Bas Edixhoven |url=https://www.universiteitleiden.nl/en/news/2022/01/in-memoriam-bas-edixhoven |access-date=2024-10-11 |website=Leiden University |language=en}}</ref>
==Education== Bas Edixhoven was born on 12 March 1962 in Leiden, Netherlands.<ref name="thesis"/> Edixhoven graduated from {{ill|Erasmus College|nl|Erasmus College (Zoetermeer)}} in Zoetermeer in 1980.<ref name="thesis">{{cite thesis |url=https://websites.math.leidenuniv.nl/edixhoven/publications/1989/phd-thesis.pdf |title=Stable Models of Modular Curves and Applications |year=1989 |type=PhD |first=Bas |last=Edixhoven |publisher=Utrecht University }}</ref> He then studied at Utrecht University where he graduated with a master's degree in pure mathematics ''cum laude'' in 1985 and a PhD in mathematics in 1989, both under the direction of Frans Oort.<ref name="CV"/><ref name="thesis"/><ref name="Mathematics">{{MathGenealogy|id=49938|name=Sebastiaan Johan Edixhoven}}</ref> His thesis was about modular curves.<ref name="Leiden-obit"/>
==Career== Edixhoven was a Morrey assistant professor at the University of California, Berkeley from 1989 to 1991, after which he returned to Utrecht University.<ref name="Leiden-obit"/> From 1992 to 2002, he was a professor at the University of Rennes 1.<ref name="Leiden-obit"/> He moved to Leiden University as a Professor of Geometry in 2002.<ref name="Leiden-obit"/>
In 2004, Edixhoven and Peter Stevenhagen established Leiden's participation in the Algebra, Geometry and Number Theory (ALGANT) collaborative program for master's and PhD students across French, Italian, German, Canadian, and Dutch universities.<ref name="Leiden-obit"/>
Edixhoven was a co-managing editor of ''Compositio Mathematica'' from 2003 to 2012.<ref name="Leiden-obit"/> He was an editor for ''Compositio Mathematica'' from 2000 to 2012,<ref name="Leiden-obit"/> for the ''Journal de Théorie des Nombres de Bordeaux'' from 1998 to 2004, for the ''Journal of Number Theory'' from 2004 to 2012, for ''Expositiones Mathematicae'' from 2003 to 2022, and for ''Indagationes Mathematicae'' from 2010 to 2022.<ref name="CV"/>
Edixhoven was involved in the Bèta-lerarenkamer think tank, which produced a mobile app for refugee teachers to improve their Dutch and mathematics abilities.<ref name="Leiden-obit"/>
==Research== Edixhoven's early work was on modular curves.<ref name="Leiden-obit"/> He worked on the techniques used in Wiles's proof of Fermat's Last Theorem and the proof of Serre's modularity conjecture.<ref name="Leiden-obit"/>
He later made important contributions regarding the André–Oort conjecture, as well as making modular forms and associated Galois representations more computationally accessible.<ref name="Leiden-obit"/> His latest works had focused on geometric interpretations of the quadratic Chabauty method.<ref name="Leiden-obit"/>
Outside of academia, he worked on correction codes for the French Ministry of Defense and Canon Inc.<ref name="CV">{{cite web |url=http://www.math.leidenuniv.nl/~edix/cv.pdf |title=Curriculum Vitae |access-date=5 February 2022 |archive-date=23 January 2022 |archive-url=https://web.archive.org/web/20220123005952/https://www.math.leidenuniv.nl/~edix/cv.pdf |url-status=dead }}</ref>
==Awards== From 1989 to 1992, Edixhoven was a recipient of the Huygens scholarship. From 1995 to 2002, he was a member of the Institut Universitaire de France. In 2009, he became a member of the Royal Netherlands Academy of Arts and Sciences.<ref name="Leiden-obit"/><ref>{{cite web|url=https://www.knaw.nl/en/members/members/6203 |url-status=dead |archive-url=https://web.archive.org/web/20210121155333/https://www.knaw.nl/en/members/members/6203 |title=Bas Edixhoven |publisher=Royal Netherlands Academy of Arts and Sciences |date= |archive-date=21 January 2021}}</ref> In 2008, he gave an invited lecture at the 5th European Congress of Mathematics.<ref name="CV"/>
==Death== Edixhoven died on 16 January 2022, at the age of 59, from a tumor.<ref name="Leiden-obit">{{cite news |last= |first= |date=19 January 2022|title=In Memoriam - Bas Edixhoven|trans-title= |url=https://www.universiteitleiden.nl/nieuws/2022/01/in-memoriam---bas-edixhoven|language=Dutch|work=Leiden University|location= |access-date=25 January 2022}}</ref><ref name="CIMPA-obit"/>
==Selected publications== *{{Cite journal |last=Edixhoven |first=Bas |year=1992 |title=The weight in Serre's conjectures on modular forms |url=http://link.springer.com/10.1007/BF01232041 |journal=Inventiones Mathematicae |language=en |volume=109 |issue=1 |pages=563–594 |doi=10.1007/BF01232041 |bibcode=1992InMat.109..563E |s2cid=120195693 |issn=0020-9910|url-access=subscription }} *{{Cite book |url=http://link.springer.com/10.1007/978-1-4612-1974-3 |chapter=Serre's conjecture |first=Bas |last=Edixhoven |pages=209–242 |title=Modular Forms and Fermat's Last Theorem |year=1997 |publisher=Springer New York |isbn=978-0-387-98998-3 |editor-last=Cornell |editor-first=Gary |location=New York, NY |language=en |doi=10.1007/978-1-4612-1974-3 |editor-last2=Silverman |editor-first2=Joseph H. |editor-link2=Joseph H. Silverman |editor-last3=Stevens |editor-first3=Glenn |editor-link3=Glenn H. Stevens}} *{{Cite journal |last1=Edixhoven |first1=Bas |last2=Yafaev |first2=Andrei |year=2003 |title=Subvarieties of Shimura varieties |url=http://annals.math.princeton.edu/2003/157-2/p07 |journal=Annals of Mathematics |language=en |volume=157 |issue=2 |pages=621–645 |doi=10.4007/annals.2003.157.621 |s2cid=15256637 |issn=0003-486X|doi-access=free |arxiv=math/0105241 }} *{{Cite journal |last=Edixhoven |first=Bas |year=2005 |title=Special points on products of modular curves |url=https://projecteuclid.org/journals/duke-mathematical-journal/volume-126/issue-2/Special-points-on-products-of-modular-curves/10.1215/S0012-7094-04-12624-7.full |journal=Duke Mathematical Journal |volume=126 |issue=2 |doi=10.1215/S0012-7094-04-12624-7 |s2cid=16531430 |issn=0012-7094|url-access=subscription |arxiv=math/0302138 }} *{{Cite book |last1=de Jong |first1=Robin |url=http://princeton.universitypressscholarship.com/view/10.23943/princeton/9780691142012.001.0001/upso-9780691142012 |title=Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime (AM-176) |last2=Merkl |first2=Franz |last3=Bosman |first3=Johan |year=2011 |publisher=Princeton University Press |isbn=978-0-691-14201-2 |editor-last=Edixhoven |editor-first=Bas |edition=1 |language=en |doi=10.23943/princeton/9780691142012.001.0001 |arxiv=math/0605244 |editor-last2=Couveignes |editor-first2=Jean-Marc}}
==References== {{reflist}}
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{{DEFAULTSORT:Edixhoven, Bas}} Category:1962 births Category:2022 deaths Category:20th-century Dutch mathematicians Category:21st-century Dutch mathematicians Category:Academic staff of Leiden University Category:Dutch academics Category:Members of the Royal Netherlands Academy of Arts and Sciences Category:University of California, Berkeley faculty