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Aaron Bertram

University of Utah · US
Area of research
Geometry and Topology · Mathematical Physics
Research interest
Research interests include Algebraic Geometry and Number Theory, Advanced Algebra and Geometry, Algebraic structures and combinatorial models, and Geometric and Algebraic Topology.
h-index
23
citations
1,923
works
72
NIH funding
primary concept
email

Recent publications

The minimal model program for the Hilbert scheme of points on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>and Bridgeland stability
Advances in Mathematics 2013cited by 136position: middledoi
The Birational Geometry of the Hilbert Scheme of Points on Surfaces
2013cited by 51position: firstdoi
The birational geometry of moduli spaces of sheaves on the projective plane
Geometriae Dedicata 2013cited by 41position: firstdoi
Bridgeland-stable moduli spaces for $K$-trivial surfaces
Journal of the European Mathematical Society 2012cited by 181position: lastdoi

Grants

FRG: Collaborative Research: Moduli Spaces, Birational Geometry, and Stability Conditions
NSF1663813$162,9292017–2020PIRePORTER
Bridgeland Moduli of Derived Objects on Algebraic Surfaces
NSF0901128$222,8622009–2014PIRePORTER
EMSW21-VIGRE: Vertical Integration in Mathematics at the University of Utah
NSF0602219$3,500,0002006–2013PIRePORTER
Algebraic Geometry Inspired by Physics
NSF0501000$174,8852005–2008PIRePORTER
Questions Related to Curves on Complex Projective Manifolds
NSF0200895$218,4702002–2006PIRePORTER
Mathematical Sciences: Enumerative Geometry of Moduli Spaces
NSF9500865$50,0001995–1999PIRePORTER
Mathematical Sciences: Topology and Algebraic Geometry
NSF9496103$48,6841993–1996PIRePORTER
Mathematical Sciences: Topology and Algebraic Geometry
NSF9218215$48,6841992–1995PIRePORTER
Mathematical Sciences: Postdoctoral Research Fellowship
NSF8905510$75,0001989–1991PIRePORTER

Frequent collaborators

Daniele Arcara · Saint Vincent College2 papers (2012–2013)İzzet Coşkun · University of Illinois Chicago2 papers (2013–2013)Jie Wang · University of Georgia1 papers (2013–2013)Jack Huizenga · University of Illinois Chicago1 papers (2013–2013)Cristian Martínez · Universidad de Los Andes1 papers (2013–2013)