Melissa Tacy 

Research interests

I am a PhD student, working with Andrew Hassell.  I am currently working on problems regarding possible concentrations of eigenfunctions. In particular I have been working on submanifold L^p estimates where we compare the L^p size of an eigenfunction (or quasimode) restricted to a submanifold to the L^2 size of the eigenfunction on the whole manifold.

Here is my CV

Papers
Semiclassical L^p  estimates of quasimodes on submanifolds (under review)
Strichartz estimates for non-unitary energy bounds and eigenfunction estimates, Proceedings of the 9th International Conference on Mathematical and Numerical Aspects of Waves Propagation (p222-223), Pau, 15-19 June 2009

Presentations
Flow glancing and hypersurface eigenfunction estimates, 53rd Annual Meeting of the Australian Mathematical Society, Adelaide, 29 September 2009
Submanifold L^p estimates for eigenfunctions of a differential operator, 2009 Pacific Rim Mathematical Association Congress, Sydney, 10 July 2009
Strichartz estimates for non-unitary energy bounds and eigenfunction estimates, 9th International Conference on Mathematical and Numerical Aspects of Waves Propagation, Pau, 19 June 2009
Hypersurface L^p estimates for approximate eigenfunctions of a differential operator (poster presentation)

• Workshop on Spectral Theory and Harmonic Analysis, Canberra, 13-17 July 2009
• Laplacian Eigenvalues and Eigenfunctions: Theory, Computation and Applications, Los Angeles, 9-13 February 2009

Hypersurface L^p estimates for approximate eigenfunctions of a differential operator, Australian/New Zealand Mathematics Convention, Christchurch, 9 December 2008

Teaching
From 2005-2008 I was a tutor for ANU's first year mathematics courses (MATH1013, MATH1014, MATH1115, MATH1116). In 2009 I have been teaching for the Center of Continuing Education at ANU, running their Basic Maths for the Special Tertiary Admissions Test (STAT). 

Email Address
melissa.tacyatanu.edu.au

Postal Address 

Centre for Mathematics and its Applications, Mathematical Sciences Institute 

Australian National University, Canberra, ACT 0200, Australia.

Phone 

(61-2) 6125 2431

FAX 

(61-2) 6125 5549