Amanda Knecht

Assistant Professor

Villanova University
St Augustine Ctr Rm 305
800 Lancaster Avenue
Villanova, PA 19085
USA

Tel: 610.519.6659
FAX: 610.519.6928
Office: SAC 381
Email:
amanda dot knecht at villanova dot edu

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Research Interests: Algebraic Geometry; Rationally Connected Varities, Rational Points, Del Pezzo surfaces over Finite Fields

Currently Teaching: 

Math 1505: Calculus II (Fall 2014)
Math 2705: Honors Diff Equation with Linear Alg  (Fall 2014)


Previous Villanova Teaching :
Math 1505:Calculus II (Spring 2013)
Math 2705: Diff Equation with Linear Alg  (Fall 2012)
Math 5900: Senior Seminar (Fall 2012)
Honors 1290: Introduction to Cryptology (Spring 2012)
Math 3500: Modern Algebra (Spring 2012)
Math 1290: Introduction to Cryptology (Fall 2011)
Honors 1290: Introduction to Cryptology (Fall 2011)
Math 5900: Senior Seminar (Fall 2011)
Math 2705: Diff Equation with Linear Alg (Spring 2011)
Math 7610: Complex Analysis (Spring 2011)
Math 1505:Calculus II (Fall 2010)
Past University of Michigan Courses :
Math 567: Introduction to Coding Theory (Section 001) (Winter 2010)
Math 216: Differential Equations (Section 010) (Fall 2009)
Math 116: Calculus II (Sections 002 and 007) (Fall 2008)
Math 513: Introduction to Linear Algebra (Section 001) (Winter 2008)
Math 175: An Introduction to Cryptology (Section 002) (Fall 2007)
Past Rice University Courses :

Math 102: Calculus II (Fall 2005)
Math 355: Linear Algebra (Summer 2005)
Math 499: VIGRE Junior Seminar in Computational Algebraic Geometry (Spring 2005)
Math 499: VIGRE Junior Seminar in Computational Algebraic Geometry (Fall 2004)

Papers:
Weak Approximation for Degree Two del Pezzo Surfaces at Places of Bad Reduction (2007, PhD Thesis)
Weak Approximation for General Degree Two del Pezzo Surfaces (Proc. Amer. Math. Soc. 141 (2013), pp. 801-811)
Rationally connected varieties over the maximally unramified extension of p-adic fields (2011, Joint with Brad Duesler, Submitted)
Degree of Unirationality for del Pezzo Surfaces over Finite Fields (2013, accepted 
Journal de theorie des nombres de Bordeaux)
Full Degree Two del Pezzo Surfaces over Small Fields (in progress)