Alex Amenta

  Postdoc, Delft Institute of Applied Mathematics, TU Delft
    (until August 2018. from March 2019 I will be at the University of Bonn)



Publications and preprints

A dichotomy concerning uniform boundedness of Riesz transforms on Riemannian manifolds (with Leonardo Tolomeo)

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