Variational Analysis, Optimization See http://www.dim.uchile.cl/~arisd/ for details

(A) Supervision of Master students:

1- Guillaume Grelier, U. Chile (Defence: September 2018)
SOBRE LA GEOMETRÍA DE LOS CONJUNTOS COMPACTOS CONVEXOS

2- Francisco Venegas Martinez, U. Chile (Defence: April 2018)
UN TEOREMA TIPO BANACH-STONE PARA VARIEDADES DE FINSLER

3- Sebastian Tapia García, U. Chile (Defence: September 2017)
CURVAS AUTOCONTRACTANTES Y -CURVAS:
RECTIFICABILIDAD Y COMPORTAMIENTO ASINTÓTICO

4- Gonzalo Flores García, U. Chile (Defence: September 2, 2016)
ESTUDIO DE LOS ESPACIOS LIPSCHITZ-LIBRES
Y UNA CARACTERIZACIÓN PARA EL CASO FINITO-DIMENSIONAL

5- Roberto Bobadilla Solani, U. Chile (Defence: October 26, 2016)
GEOMETRÍA DE SISTEMAS DE DESCENSO:
ESTUDIO ASINTÓTICO MEDIANTE DESINGULARIZACIÓN

6- Ata Atur, UAB, Spain (Defence: July 2011)
Infinitely repeated zero-sum games with partial information

7- María del Mar Gomez Pujalte, UAB, Spain (Defence: September 2010)
Dualidad en optimización convexa (co-supervised with J.E. Martinez-Legaz)

(B) Supervision or co-supervision of PhD students:

(PhD Thesis in progress)
1- Gonzalo Flores García, U. Chile (Defense expected on April 2021)
APPLICATIONS OF THE INTEGRATION OF ESSENTIALLY BOUNDED
FUNCTIONS AND CLASSIFICATION OF ASYMMETRIC SPACES

2- Axel Böhm, University of Vienna (Defense, September 2020, supervisor Radu Bot)
[Part of the doctorate training of Axel Böhm was a 3-months research stay at my institution (U. Chile). During his stay
we wrote a paper "Ubiquitous algorithms in convex optimization generate self-contracted sequences" (arXiv 2003.04201)
to appear in J. Convex Anal. 29 (2022)

3- Sebastián Tapia, U. Chile & U. Bordeaux (Defense expected on September 2021)

4- Francisco Venegas, U. Chile (Defense expected on March 2023)

(finished)
5- Jeffrey Chin How Pang (PhD at Cornell, supervisor Adrian S. Lewis)
[ Part of the doctorate training of Jeffrey Pang was a 3 months research stay (September-December 2009) at my institution (CRM, UAB, Barcelona). The objective of this stay was to get acquainted with semialgebraic techniques and work with me in topics of Tame Optimization. This gave rise to the following article : A. Daniilidis, J. C. H. Pang, Continuity and differentiability of set-valued maps revisited in the light of tame geometry, J. London Math. Soc 83 (2011), 637–658. (This work is part of his PhD Thesis, defended on May 2010.) Jeffrey Pang is currently Assistant Professor at the Department of Mathematics of the NUS (Singapore)]

6- Yboon Garcia Ramos (PhD at Pointe-à-Pître, France, supervisor: Marc Lassonde)
[ Part of the doctorate training of Yboon García was a 1-month research stay at the CRM (UAB, Barcelona). As product of this visit was the following joint publication (included in her PhD Thesis, defended on December 2008 : A. Daniilidis, Y. García, Remarks on the class of (semi)strictly quasiconvex functions, J. Optim. Theory Appl. 133 (2007), 37-48. Yboon García is now Professor at the Department of Economics of the University of the Pacific (Lima, Peru) ]

7- Jerome Malick (PhD at INRIA Rhône-Alpes, supervisor: Claude Lemaréchal)
[ During my employment at INRIA Rhône-Alpes as a post-doctorate researcher, I was sharing office with Jerome Malick (PhD student) and was actively involved in his PhD Thesis. The following joint publications were elaborated during that period and were part of his PhD Thesis defended on November 2005:
- A. Daniilidis, J. Malick, Filling the gap between lower-C1 and lower-C2 functions, J. Convex Anal. 12 (2005), 315-329.
- A. Daniilidis, W. Hare & J. Malick, Geometrical interpretation of the proximal-type algorithms in structured optimization problems, Optimization 55 (2006), 481-503.
Jerome Malick is currently CNRS Researcher (DR2) at the LJK, University of Grenoble, France.]

8- Mohammed Bachir (PhD at University of Bordeaux, France, supervisor Robert Deville)
[During my employment as Marie-Curie researcher at CNRS-Talence, I was involved in the PhD Thesis of Mohammed Bachir (PhD student), defended on December 2000. The following joint publications were elaborated during that period and were part of his PhD Thesis:
- Bachir M., Daniilidis A., Penot J., (2002), Lower Subdifferentiability and Integration, Set-Valued Analysis, Springer Verlag, 2002, 10 , pp.89-108
- Bachir M., Daniilidis A., (2000), A dual characterisation of the Radon-Nikodym property, Bulletin of the Australian Mathematical Society, 2000, 62, pp.379-387.
Mohammed Bachir is currently Assistant Professor (Maître de Conférence) at the University Paris-1, France. ]

(C) Supervision of post-doc fellows
1. Phan Duo Khanh, U. Chile 2016-2020
FONDECYT Fellow:

2. David Salas, U. Chile 2019-2020 (currently at UOH)
FONDECYT Fellow.

-- Plenary talks at international conferences.

(China) Advances in Nonsmooth Analysis and Applications, December 6-9, 2019, SUSTech, Shenzhen.
Plenary talk:Critical points for Lipschitz functions.
http://www.dim.uchile.cl/~arisd/PosterSUSTech.pdf

(Spain) Function Theory on Infinite Dimensional Spaces XV, November 18–21, 2019, Madrid.
Plenary talk:Lipschitz continuous functions and criticality.

(France) Geometry of Banach spaces and Optimization, June 16-21, 2019, Métabief.
Plenary talk: Spaceability of the space of Clarke-saturated Lipschitz functions.
(Conference on the occasion of R. Deville’s 60th birthday.)

(Iran) Conference on Nonlinear Analysis and Optimization (NAOP2018), June 18–20, 2018, Zanjan.
Plenary talk:Paradigms of gradient systems: asymptotic study.
(Conference on the occasion of N. Hadjisavvas 65th birthday.)

(Spain) Function Theory on Infinite Dimensional Spaces XV, UCM, February 6-9, 2018, Madrid.
Plenary talk:Gradient flows, second order gradient systems and convexity.
(Conference on the occasion of J. Jaramillo’s 60th birthday.)http://www.dim.uchile.cl/~arisd/PosterMadrid18.pdf

(Germany) Nonsmooth Optimization and its Applications, May 15-19, 2017, HCM, Bohn.
Plenary talk:Self-contracted curves: recent developments and applications.
http://www.dim.uchile.cl/~arisd/PosterBonn.pdf

(Australia) Mathematical Optimization Down-Under (MODU2016), July 18-22, 2016, Melbourne.
Plenary talk:Self-contracted curves: recent developments and applications (keynote)
http://www.dim.uchile.cl/~arisd/PosterMODU.pdf

(France) Variational Analysis, Optimization and Quantitative Finance, May 18-22, 2015, Limoges.
Plenary talk: Nonsmooth critical values and Sard type results
(Conference on the occasion of T. Rockafellar’s 80th birthday.)

(Spain) Function Theory on Infinite Dimensional Spaces XII, February 7-10, 2012, Madrid.
http://www.dim.uchile.cl/~arisd/Confe12.pdf

(France) Convex Analysis, Optimization and Applications. January 5-9, 2010, Les Houches.
Plenary Talk:Genericity of partial smoothness in semialgebraic optimization
(Conference on the occasion of C. Lemarechal’s 65th birthday.)

(France) International Conference on Nonsmooth and Variational Analysis in Sciences and EngineeringLimoges, June 2007.
Plenary Talk:Variational Analysis and Tame Optimization.

(France) Calculus of Variations, Shape Optimization, June 10-13, 2003, Bourget-du-Lac.
Plenary Talk:Subsmooth sets and related concepts.

-- Invited talks at International Workshops

(Austria) Workshop on Numerical Algorithms in Nonsmooth Optimization, February 2019, ESI, Vienna
Talk:Self-contracted curves and Applications.

(Austria) Workshop on Nonsmooth and Variational Analysis, January 2019, ESI, Vienna.
Talk:Detecting and controlling the size of critical values: from Classical to Nonsmooth Analysis.

(Chile) Control of State-Constrained Dynamical Systems, September 24–27, 2019, Valparaiso.International workshop and summer school.
Talk:From the Gradient Dynamics to the Sweeping Process.
http://www.dim.uchile.cl/~arisd/PosterValpo.pdf

(Brazil) XII Brazilian Workshop on Continuous Optimization, July 23–27, 2018, Foz do Iguacu.
ICM 2018 Satellite Conference. Semi-plenary talk:Gradient flows and determination of convexity.

(Iran) Workshop on Optimization, Institute of Physics and Mathematics, June 23, 2018, Isfahan.
Invited talk:The Morse-Sard theorem for Lipschitz selections.

(Italy) 71th Workshop “Advances in Convex Analysis and Optimization”, June 2019, Erice.
Plenary talk: Spaceability of Clarke saturated functions.
http://www.dim.uchile.cl/~arisd/Poster-Erice-2019.pdf

(Peru) XIII International Seminar on Optimization and Related Areas, October 9-13, 2017, Lima
Plenary Talk:Determining a function from partial data: The Gleaser-Whitney problem.

(Mexico) Splitting Algorithms, Modern Operator Theory, and Applications.BIRS conference (upon invitation), September 17-22, 2017, Oaxaca
Talk:On the Glaeser-Whitney extension problem.
Video available at:http://www.birs.ca/events/2017/5-day-workshops/17w5030/videos/watch/201709181005-Daniilidis.html

(Italy) 12th Workshop on Well-Posedness of Optimization and related topics, September 2009, Trento
Invited talk:Genericity of partial smoothness in tame optimization.

(Bulgaria) Workshop on Optimization and Applications, December 17–19, 2008, Sofia.
Invited talk:Sard type theorems in Tame Variational Analysis: illustration of semialgebraic techniques.

(Spain) 11th Workshop on Well-Posedness of Optimization and related topics, Alicante, September 2007.
Invited talk:On the uniform finiteness of lengths of trajectories of gradient systems.

(Spain) Workshop in Economics & Applied Mathematics, December 12–14, 2002, Barcelona.
Invited talk:Convex Integration of Fenchel subdifferentials.Plenary talks at National Workshops

(France) Journées annuelles 2018 du GdR MOA, October 17-19, 2018, Pau (keynote)
Talk:On functions that saturate the Clarke subdifferential.

(Chile) Conference of the Chilean Mathematical Society (SOMACHI 2013), November 7–9, 2013, Olmué.
Semi-Plenary talk:Asymptotic behavior of gradient orbits(in Spanish).(France)

Journées du groupe MODE de la SMAI, March 28–30, 2012, Dijon
(keynote)Talk:Genericity results on well-posedness and partly smoothness(in French)

(Spain) Conference of the Spanish Royal Mathematical Society 2009
Session: Real Analytic and Algebraic Geometry (RAAG), February 4–7, 2009.
Invited talk:Sard type theorems in Tame Variational Analysis.

(Spain) Workshop on Nonsmooth Analysis and Applications, UCM, February 7–9, 2007, Madrid.
Talk:Subdifferential Representation of Convex functions.

-- Research colloquiums

Madrid, Spain (February 3, 2020)
Mathematical Analysis Colloquium,
Interdisciplinary Mathematical Institute, University Complutense de Madrid

Vienna, Austria (December 4, 2019)
Mathematisches Kolloquium, Faculty of Mathematics, University of Vienna.

Gœttingen, Germany (July 4, 2017)
Kolloquien (Angewandte Mathematik), University of Gœttingen.

Buenos Aires, Argentina (June 23, 2016)
Mathematical Colloquim, University of Buenos-Aires (UBA).

Santiago, Chile (September 25, 2015)
Colloquium in Mathematics, Catholic University of Chile (PUC).

Grenoble, France (March 9, 2006)
Colloquium in Mathematics, IMAG, University of Grenoble.

Barcelona, Spain (April 21, 2004)
Department Colloquium, University Autonomous of Barcelona (UAB).

-- Distinguished seminars:

Séminaire CMAP (September 18, 2018) École Polytechnique, Palaiseau, France

Séminaire Parisien d’Optimisation (SPO) (November 6, 2018) & (May 16, 2005)
Institut Henri Poincaré, Paris, France

101 Seminario Iberoamericano de Matemáticas (February 2018)
Centro Tordesillas de relaciones con Iberoamérica,
Universidad de Valladolid, Spain

Seminario Mischa Cotlar (June 24, 2016)
Mathematical Institute of Argentina (IAM).

90 Seminario Iberoamericano de Matemáticas (February 2016)
Centro Tordesillas de relaciones con Iberoamérica, Universidad de Valladolid, Spain

Optimization and Applications Seminar (Fall 2008)
ETH Zurich and University of Zurich, Switzerland

--Webinars:

One World Optimization Seminar (October 5, 2020)
OWOS Series, University of Vienna, Vienna, Austria

Singularity seminar UFC (August 4, 2020)
Federal University of Ceara, Fortaleza, Brazil

--- Organization of Conferences:
Dynamical Aspects in Variational Analysis (30 participants)
Workshop co-organized with S. Gaubert (INRIA, Polytechnique) and S. Tapia (my PhD student)
CMAP, École Polytechnique, Palaiseau, France (December 13, 2018)
http://www.cmap.polytechnique.fr/~gaubert/VariationalAnalysisWorkshop/2nd

International Conference on Variational Analysis and Optimization (in honor of Lionel Thibault) (80 participants)
Member of the organizing and scientific committee.University of Chile, Santiago, Chile (January 5–10, 2014)
http://eventos.cmm.uchile.cl/thibault2014/organizing-committee

XIII Escuela de Primavera(Spring School, 22 participants)(co-organized with J. Fontona and J. Ortega)
Department of Mathematical Engineering (October 14–25, 2013) University of Chile, Santiago, Chile.

Research Programme(4–months) on:Variational Analysis and OptimizationTheory and Applications
Main organizer. Chair of the scientific committee.CRM, Barcelona, Spain (September–December 2010)

Optimization: Theory, Algorithms and Applications in Economics (OPT2011, 70 participants)
(a tribute to Juan-Enrique Martinez-Legaz on the occasion of his 60thbirthday)
Chair of the organizing committee. Chair of the Scientific committee.CRM, Barcelona, Spain.
http://mat.uab.cat/~opt/opt2011/http://www.dim.uchile.cl/~arisd/OPT2011Poster.pdf

Advances in Optimization and Related Topics(ADORT, 69 participants) Chair of the organizing committee.
Chair of the scientific committee.CRM, Barcelona, Spain (November 29 – December 3, 2010)
http://www.dim.uchile.cl/~arisd/LeafletADORT2010.pdf

Numerical Optimization and Applications in Engineering (NUMOPEN, 24 participants)Chair of the organizing committee.
CRM, Barcelona, Spain (October 13–15, 2011)
http://www.dim.uchile.cl/~arisd/LeafletNUMOPEN2010.pdf

Advanced Course on Optimization: Theory, Methods, and ApplicationsSummer School (70 participants)
Main organizer. Chair of the scientific committee.CRM, Campus UAB, Spain (July 20–24, 2009)
http://www.dim.uchile.cl/~arisd/LeafletOPT2009.pdf

6th International Symposium on Generalized Convexity and Generalized Monotonicity
Member of the organizing committee (50 participants)
University of the Aegean, Greece (August 1999).

-- (external) member of scientific committees.

XIII Global Optimization Workshop (GOW’16) Braga, Portugal (September 4–8, 2016)
http://apolo.dps.uminho.pt/gow16/committees.html

Approximation and Optimization (MATRIX) Melbourne, Australia (July 10–22, 2016)
https://www.matrix-inst.org.au/events/approximation-and-optimisation

XII International Seminar on Optimization and Related AreasLima, Peru (October 5-9, 2015)
http://isora2015.imca.edu.pe/committees.php

XIII Conference on Function Theory on Infinite Dimensional Spaces
University Complutense of Madrid (February 4-7, 2014).
https://www.icmat.es/congresos/2014

Congress SMAI 2013 (French Society for Applied and Industrial Mathematics)
Seignosse, France (May 27-31, 2013).

--- Dissemination activities

Exceptional lecture (90 minutes, in French) about Chess and Mathematics within the course (Jeux Mathématiques) for third-year students of the University of Tours (March 2008).

Interview (in Spanish) for the Magazine “Beauchef” (No 5, 2013). (Periodic edition —two volumes per year— with news on Sciences and Engineering related to the activities of the University of Chile.)

Interview (in English) for the newsletter of the Center of Mathematical Modelling, on the topic When science moves the chess pieces.
Link:http://www.cmm.uchile.cl/?p=23376

Organization (together with Axel Osses) of the production (and active participation to the recording) of the Video Beautiful Concepts, a poetic walk through mathematics (in Spanish), released on January 13,2016, in the occasion of the 50th anniversary of the department.
Link available athttp://www.dim.uchile.cl/videos/118736/video-bellos-conceptos-un-paseo-poetico-por-las-matematicas

Active participation to an “open-day dissemination activity” (Jornada de puertas abiertas) organized by the Engineering Faculty of the University of Chile for school children (March 12, 2016).

Dissemination purpose visit (April 14, 2016), together with Axel Osses, to the high-school “Instituto Nacional Barros Arana” (Santo Domingo #3535, Santiago).

Projection of the video for the 50th anniversary of DIM to approximately 150 pupils. Discussion/questions/responses concerning the labor of a researcher in Mathematical Engineering. Link of the activity: http://www.dim.uchile.cl/noticias/120757/bellos-conceptos-matematicos-al-inba.

Exceptional lecture (90 minutes, in French) within the course MAP557 (Recherche opérationnelle: aspects mathématiques et applications) for third-year students of “ École Polytechnique” interested in Operations Research (November 6, 2018).

Participation in the organization of the celebration fest (May 16, 2019) for the 100th graduate of the Doctoral programme of DIM and Chairman of the closing section.
Link of the activity:http://ingenieria.uchile.cl/noticias/153913/dim-celebro-sus-primeros-100-doctorados

Chairman of a session at the dissemination activity Le mois de l’optimisation organized by IRMAR (Rennes) and the GDR 3273 CNRS (Mathématiques de l’optimisation et Applications) (November 2020). https://mois-optim.math.cnrs.fr/