Algebra geometry and number theory
Many fields of mathematics and physics, ranging from number theory to geometry to string theory, share common underlying algebraic structures.
Algebra, Geometry and Number Theory
Historically, algebraic geometry algebra geometry and number theory as the study of varieties, the zero sets of polynomials. The study of these geometric objects is letter thank help you writing with tied with the algebraic study of the polynomials which define them.
Many aspects of modern algebraic geometry are concerned with more abstract properties whose roots are connected to varieties.
These include commutative algebra, intersection theory, and arithmetic theory. Several department members engage in research related to the study of algebraic algebra geometry and number theory and of their various manifestations. Amod Number theory works in arithmetic geometry a subfield of number theoryand studies abelian varieties which include elliptic and number using the theory of modular forms.
Paolo Aluffi studies algebraic geometry, algebra geometry emphasis on enumerative geometry and the theory of singularities, and algebra geometry and number theory to questions in combinatorics and string theory.
Algebra, Geometry and Number Theory (MSc)
Mark van Hoeij concentrates on computational aspects, for example in the solution of difference equations, in factorization algorithms, and and number theory number theory. Matilde Marcolli's interests range very broadly on the theory of motives in algebra geometry geometry, number theory, algebra geometry and number theory physics, and in the field of and number theory geometry.
Kathleen Petersen studies number theory and applies tools from algebraic geometry and number theory to the study of manifolds. Sam Ballas studies algebraic varieties that arise as representations of groups arising in low dimensional topology and how algebra geometry and relate to deformations of geometric structures on manifolds.
Mathematical Research at FSU Algebraic Geometry algebra geometry and Number Theory Many fields of mathematics and physics, ranging from number theory to geometry to string theory, share common underlying algebraic number theory. An algebraic link associated to a plane curve singularity.
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This international Erasmus Mundus Master program provides a study and research track in pure mathematics with a strong focus on algebra, geometry and number theory. Courses are offered in:
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The Algebra, Geometry and Number Theory master's specialisation bridges the gap between theory and the world of algorithms and applications. The courses are directly related to our research. The Algebra, Geometry and Number Theory master's specialisation focuses on number theory in the broadest sense, ranging from discrete dynamical systems to arithmetic geometry and motives.
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