Regular biography
Damian Charles Rössler is a Research Fellow at the Mathematical Institute, University of Oxford, within the Department of MATH. His research interests include arithmetic algebraic geometry, with a focus on Riemann-Roch theorems, Arakelov theory, values of L-functions, rational points, and applications of mathematical logic to diophantine problems. He has contributed to the study of the Manin-Mumford and Mordell-Lang conjectures in positive characteristic. Rössler has published works on Green currents, abelian schemes, and the Brauer–Manin obstruction for nonisotrivial curves over global function fields. He is also involved in teaching, including the Part C course Introduction to Schemes.
Scholar-generated biography
Damian Rössler is a mathematician at the University of Oxford, specializing in mathematics with a focus on arithmetic geometry and algebraic number theory. His research explores deep connections between algebraic cycles, Arakelov theory, and the arithmetic of abelian varieties. He has contributed to conjectures related to the Manin-Mumford and Mordell-Lang conjectures, as well as the Gross-Deligne conjecture. His work includes fixed point formulas in Arakelov geometry, arithmetic Riemann-Roch theorems, and the study of Green currents for unit sections of abelian schemes. His publications often intersect with topics such as logarithmic derivatives of Artin L-functions and the birational invariance of BCOV torsion.