Luca Spolaor

CLE Moore Instructor,
Massachusetts Institute of Technology (MIT), Office 2-241,
77 Massachusetts Avenue, Cambridge
MA 02139, USA

lspolaor at mit dot edu


About CV Publications Awards Teaching

About

Since September 2016 I am a CLE Moore Instructor at MIT. I completed my PhD studies in October 2015 at the University of Zurich under the supervision of Prof. Dr. Camillo De Lellis. After that I spent one year as a Postdoc at the Max Planck Institute for Mathematics in the sciences, under the supervision of Prof. Dr. Emanuele Spadaro.

My main areas of interest are Calculus of Variations and Partial Differential Equations with a particular focus on the regularity theory for solutions.

Publications

L. Spolaor, B. Velichkov An epiperimetric inequality for the regularity of some free boundary problems: the 2-dimensional case , preprint, 2016

M. Colombo, L. Spolaor Quantitative estimate on singularities in isoperimetric clusters , submitted, 2016

F. Ghiraldin, L. Spolaor On the number of singular points for planar multivalued harmonic functions , submitted, 2016

L. Spolaor Almgren's type regularity for Semicalibrated Currents, submitted, 2015

C. De Lellis, E. Spadaro, L. Spolaor Regularity theory for 2-dimensional almost minimal currents III: blowup, submitted, 2015

C. De Lellis, E. Spadaro, L. Spolaor Regularity theory for 2-dimensional almost minimal currents II: branched center manifold, submitted, 2015

C. De Lellis, E. Spadaro, L. Spolaor Regularity theory for 2-dimensional almost minimal currents I: Lipschitz approximation , to appear in Transaction of AMS, 2016

C. De Lellis, E. Spadaro, L. Spolaor Uniqueness of tangent cones for 2-dimensional almost minimizing currents , to appear in Comm. Pure App. Math., 2016

Awards

Best Master student of the University of Trento, 2012, with money prize.

PhD thesis: Regularity theory for a class of 2-dimensional almost area minimizing currents. awarded with distinction and money prize.

Teaching

Currently I am giving two recitation (MW12) classes for the course Calculus 18.01 (lecturer Prof. Dr. Jared Speck). My office hours are Thursday morning 9-11 in room 2-361.