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Bart Bories KU Leuven
Lise Van Proeyen KU Leuven
Faculty of Medicine and Pharmacy Vrije Universiteit Brussel
Faculty of Medicine and Pharmacy
Sylvia Snauwaert Ghent University
Yasmine Van Caeneghem Ghent University
Ann Lemahieu KU Leuven
Algebra KU Leuven
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NUMBER THEORY AND ALGEBRAIC GEOMETRY
1) Study of the number of solutions of polynomial equations in several variables over finite fields and residue class rings, with emphasis on the relation to geometric and topological invariants of the equations, Igusa's local zeta function, p-adic exponential sums.
2) Connections between (1) and the theory of singularities, resolution of singularities, Log Minimal Model Program, topological ...