Johannes Nicaise

Geometry and Topology · 2007–2017

A researcher in the Science corpus: 7 papers; trusts 23 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 44 citations into it; #1,402 of 7,422 by trust here, #1,961 by citations
• Mathematical Physics — 22 citations into it; #1,816 of 8,562 by trust here, #2,682 by citations
• Algebra and Number Theory — 14 citations into it; #2,705 of 2,864 by trust here, #2,392 by citations
• Computational Theory and Mathematics — 14 citations into it; #11,467 of 12,182 by trust here, #10,901 by citations
• Applied Mathematics — 5 citations into it
• Discrete Mathematics and Combinatorics — 5 citations into it

Whom Johannes Nicaise trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. François Loeser
2. Jan Denef
3. Franziska Bittner
4. Claire Voisin
5. Julien Sebag
6. M. Kontsevich
7. M. Mustaţă
8. Tommaso de Fernex
9. J. Kollár
10. Yuri Tschinkel

Who trusts Johannes Nicaise overall

1. M. Temkin
2. L. H. Halle
3. S. Boucksom
4. M. Kontsevich
5. J. Kollár
6. Alexander Perry
7. Chi Li
8. Mattias Jonsson
9. C. Favre
10. Mark Gross

Papers from Johannes Nicaise's perspective

Ordered by how strongly the researchers Johannes Nicaise trusts endorse each paper. Same corpus, a different order for every researcher.

1. The universal Euler characteristic for varieties of characteristic zero (Compositio Mathematica)
2. Geometry on Arc Spaces of Algebraic Varieties
3. Integration in valued fields
4. Valuations and plurisubharmonic singularities
5. Motivic measures and stable birational geometry
6. Weight functions on non-archimedean analytic spaces and the Kontsevich-Soibelman skeleton
7. An Introduction to the Theory of Local Zeta Functions
8. Unirational threefolds with no universal codimension $$2$$2 cycle
9. Lefschetz numbers of iterates of the monodromy and truncated arcs
10. The Grothendieck ring of varieties is not a domain

Their papers

• The motivic nearby fiber and degeneration of stable rationality (2017) — 71 citations
• The essential skeleton of a degeneration of algebraic varieties (2013) — 92 citations
• Weight functions on non-archimedean analytic spaces and the Kontsevich-Soibelman skeleton (2012) — 106 citations
• Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry (2011) — 58 citations
• Motivic zeta functions of abelian varieties, and the monodromy conjecture (2009) — 48 citations
• Motivic Serre invariants, ramification, and the analytic Milnor fiber (2007) — 95 citations
• A trace formula for rigid varieties, and motivic Weil generating series for formal schemes (2007) — 64 citations