Kamil Dusznko Award for outstanding achievements in
The winner of the Kamil Duszenko Award in 2020 is Camille Horbez.
Camille Horbez received his PhD from Université Rennes in 2014 under the guidance of Vincent Guirardel. He is currently a member of CNRS at Orsay and he held visiting professor positions at the University of Utah, MSRI, and the Fields Institute.
Camille wrote a spectacular thesis where he introduced random walk methods to prove the Tits Alternative and the Handel-Mosher Alternative for outer automorphism groups Out(F_n) of free groups, and generalisations.
He wrote 20 papers to date and made further significant contributions to the study of boundaries of hyperbolic spaces on which Out(F_n) acts, and its applications such as rigidity results and boundary amenability.
He is co-organising a research semester at Institut Henri Poincaré in 2022.
His main hobby is to play the baroque flute.
The winner of the Kamil Duszenko Award in 2019 is Kathryn Mann from Brown University.
Kathryn Mann received her PhD from the University of Chicago in 2014 under the supervision of Benson Farb, and is currently a Manning Assistant Professor of Mathematics at Brown University. Previously, she held a Morrey Visiting Assistant Professorship at UC Berkeley, a postdoctoral position at MSRI, and a visiting position at the Institut de mathématiques de Jussieu.
Among her accolades is an Alfred P. Sloan Foundation Fellowship (2019), an NSF Career Award (2019), and the Mary Ellen Rudin young researcher award (2017).
Mann has developed a broad research program which concentrates on homeomorphism and diffeomorphism groups of manifolds, especially in low dimensions. Among her major achievements is a characterization of geometric representations of closed surface groups into homeomorphisms of the circle. Geometric representations come from embeddings as lattices in Lie groups. Mann proved that geometric representations of closed surface groups are globally rigid, meaning that their dynamics do not change under any deformation.
In joint work with Maxime Wolff, she established the converse to this theorem, showing that rigid representations of closed surface groups are geometric.
Kathryn Mann is a renowned educator, deeply engaged in involvement of undergraduate and graduate students in topology, and she is involved in a large number of outreach activities. She has given many talks, including several directed at a general audience.
Among her hobbies she is an avid cyclist.
The winner of the Kamil Duszenko Award in 2018 is Alessandro Sisto from ETH Zürich.
Alessandro is especially interested in, and contributed significantly to the study of generalisations of hyperbolic groups: relatively hyperbolic, a-cylindrically hyperbolic and hierarchically hyperbolic groups. For each of these classes he proved deep and interesting results, addressing wide range of questions and using wide range of techniques: random walks, bounded cohomology, embedding obstructions.
Between 2005 and 2010, Alessandro studied at the Scuola Normale Superiore in Pisa, where he first encountered geometric group theory. He went on to pursue it in Oxford, where he obtained his PhD in 2013 under the supervision of Cornelia Drutu. He then moved to ETH Zürich, first as a postdoc and then as an assistant professor.
He co-organised the 2018 edition of Young Geometric Group Theory, which was held in Les Diablerets, Switzerland.
He has written 40 papers, with a total of 30 collaborators, on various topics in geometric group theory, as well as other fields.
When not doing mathematics, he climbs.
The winner of the Kamil Duszenko Prize in 2017 is Thomas Koberda from University of Virginia.
Thomas has been recognised for his work on low dimensional topology and dynamics, in particular for paper exploring connections between right angled Artin groups and mapping class groups.
He is PhD from Harvard, 2012.
His official advisor was Curt McMullen, unofficial one was Benson Farb.
During 2012-15 he was at Yale, first as an NSF postdoc, than as a Gibbs assistant professor. Since 2015 he works at University of Virginia.
Awards and honours received include:
- NSF Postdoctoral Fellowship in Mathematics Sciences, 2012.
- Best paper award, Korean Mathematical Society, 2016, for paper joint with S. Kim "Embedability between right-angled Artin groups"
- Sloan Research Fellowship, 2017
He speaks (in decreasing competence) English (native), Polish (native), French, Mandarin.
He plays piano.
The winner of the Kamil Duszenko Award in 2016 is Kate Juschenko from Northwestern University.
Kate has been distinguished for her work exploring geometric, analytic and probabilistic aspects of group theory, in particular for providing -with N. Monod- the first examples of finitely generated amenable simple groups.
Kate Juschenko defended her PhD at Texas A&M in 2011; her advisor was Gilles Pisier. In 2014 she was awarded the AMS Centennial Fellowship.
She has published 18 papers in reputable mathematical journals.
Thomas has been awarded for his works concerning low dimensional topology, kohomologies of arithmetic groups but first of all for discovering and deep exploration of the new phenomenon in the theory of group kohomology named representative stability.
Tom Church launched his doctoral studies at Chicago University at the age of 18. After 5 years he defended his doctoral thesis under Bensona Farb, winning the award for the best PhD work at the University. For the next 4 years he published 17 works in the renowed mathematical journals.
Letter of nomination extract
Tom's work has vision, originality, breadth, technical power and huge theorems proved. He has repeatedly discovered new phenomena, he has built up his own big machinery using ideas from a broad swath of mathematics, and he has applied this machinery to solve concrete problems and reveal new viewpoints on the most concrete mathematical objects. It is also worth mentioning that Church is a multiple award-winning teacher, and he has been extremely generous with his time to help others, from undergraduates to PhD students and postdocs.