Alex Amenta

  Postdoc, Delft Institute of Applied Mathematics, TU Delft.



Delft Institute of Applied Mathematics
Delft University of Technology
P.O. Box 5031
2628 CD Delft, The Netherlands

Publications and preprints

New Riemannian manifolds with
Lp-unbounded Riesz transform for p>2


Fourier multipliers in Banach function spaces with UMD concavifications (with Emiel Lorist and Mark Veraar)
to appear in Transactions of the American Mathematical Society. arXiv

Rescaled extrapolation for vector-valued functions (with Emiel Lorist and Mark Veraar)
to appear in Publicacions Matemàtiques. arXiv

Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach (with Pascal Auscher)
CRM Monograph Series, 2018. arXiv, book link

Interpolation and embeddings of weighted tent spaces
J. Fourier Analysis and Applications. (open access)

Lp-Lq off-diagonal estimates for the Ornstein–Uhlenbeck semigroup: some positive and negative results (with Jonas Teuwen)
Bull. Aust. Math. Soc. 96, Issue 1 (2017), 154—171. (articlearXiv)

Non-uniformly local tent spaces (with Mikko Kemppainen)
Publ. Mat. 59 (2015), 245—270. (open access)

Tent spaces over metric measure spaces under doubling and related assumptions
in Operator Theory: Advances and Applications, "Operator Theory in Harmonic and Non-commutative Analysis" (2014). (book, arXiv)


Advanced Topics in Analysis: Functional Calculus (TU Delft, February-June 2017)
An introduction to functional calculus (particularly McIntosh's H^\infty calculus) and applications.
Lecture notes (not totally polished, so be careful)

Seminar on tent spaces (TU Delft, September-November 2016)
An informal introduction to tent spaces, somewhat biased towards my own results...
Lecture notes: 1 2 3 4 5
(warning: there are little mistakes spread throughout these notes. Exercise: find them)


PhD thesis, Australian National University and Université Paris-Saclay 
Supervised by Pierre Portal (ANU) and Pascal Auscher (Paris-Saclay).

The Geometry of Orbifolds via Lie Groupoids
Honours thesis, Australian National University, May 2012.
Supervised by Bai-Ling Wang

Other things

Radio appearance (with Lashi Bandara)
On Fuzzy Logic Science Show, 2xx 98.3fm (Canberra community radio).
we discussed mathematics, sudoku, Columbo, and various other things. Worth a listen if you have a free hour