Karim Adiprasito

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Karim Adiprasito 2012

Karim Alexander Adiprasito (* 1988 in Aachen ) is a German mathematician.

Adiprasito studied from 2007 at the University of Dortmund mathematics with a diploma in 2010 in Tudor Zamfirescu and was in 2013 at the University of Berlin at Günter Ziegler PhD (Methods from Differential Geometry in Polytope Theory). During his studies, he attended the Indian Institute of Technology in Mumbai in 2008/09 and the Hebrew University of Jerusalem in 2011/12 . In 2013/14 he was a post-doctoral student at IHES and in 2014/15 he was a Minerva Fellow of the Max Planck Society at the Hebrew University. In 2015 and 2016 he was at the Institute for Advanced Study . Since 2015 he has been an assistant professor and since 2016 an associate professor at the Hebrew University, in addition to which he was a professor at the University of Leipzig . He has been a professor at the University of Copenhagen since 2019 .

He deals with combinatorics and especially discrete geometry ( polytopes ), especially in relation to algebraic and geometric structures.

In 2015 he received the European Prize in Combinatorics for his far-reaching and deep-seated contributions to discrete geometry with analytical methods and especially for his solution of old problems by Perles and Shephard (which go back to Legendre and Steinitz ) on projectively unambiguous polyhedra (laudation). In 2016 he received an ERC Starting Grant and in 2018 he was made a Fellow of the Knut and Alice Wallenberg Foundation. In 2017 he received the Klachky Prize of the Hebrew University.

With Padrol, he completed Mnëv's theorem of universality for realizations of simplicial polytopes.

In 2015, together with June Huh and Eric Katz , he solved a conjecture made by Gian-Carlo Rota , Heron and Welsh. It says that the coefficients of the chromatic polynomial of matroids form a log-concave sequence and the proof showed an unexpected connection between combinatorial objects and Hodge's theory, which originally came from algebraic geometry . For this he received the New Horizons in Mathematics Prize in 2019 .

At the end of 2018 he solved Peter McMullen's g-conjecture for triangulated spheres. In 2020 he received the EMS Prize for his work .

Fonts

  • with Günter Ziegler: Many projectively unique polytopes, Inventiones Mathematicae, Volume 199, 2014, pp. 581–652, Arxiv
  • with June Huh and Eric Katz: Hodge theory for combinatorial geometries, Annals of Mathematics, 2018, arxiv : 1511.02888 [math.CO]
  • with June Huh and Eric Katz: Hodge theory of matroids, Notices of the AMS, January 2017, online
  • with Arnau Padrol: The universality theorem for neighborly polytopes. Combinatorica 37, No. 2, 129-136 (2017).
  • with Anders Björner : Filtered geometric lattices and Lefschetz Section Theorems over the tropical semiring, Arxiv 2014
  • with Raman Sanyal: Relative Stanley-Reisner theory and upper bound theorems for Minkowski sums. Publ. Math., Inst. Hautes Étud. Sci. 124, 99-163 (2016).

Web links

Individual evidence

  1. ↑ Published by Arxiv 2014
  2. ↑ European Prize in Combinatorics 2015
  3. ↑ Karim Adiprasito June Huh, Eric Katz: Hodge theory for combinatorial geometries, Arxiv 2015
  4. ↑ Gil Kalai: Amazing: Karim Adiprasito proved the g-conjecture for spheres! In: Combinatorics and more. December 25, 2018, accessed January 27, 2019 .
  5. ↑ Karim Adiprasito: Combinatorial Lefschetz theorems beyond positivity . December 26, 2018, arxiv : 1812.10454v4 , bibcode : 2018arXiv181210454A (English).
  6. ↑ EMS price for Adiprasito
personal data
SURNAME Adiprasito, Karim
ALTERNATIVE NAMES Adiprasito, Karim Alexander (full name)
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH 1988
PLACE OF BIRTH Aachen