**On loops, cones and stars: striving for the optimal shape**,

A talk at the conference "Results in Contemporary Mathematical Physics", in honor of Rafel Benguria, Santiago de Chile, December 2018**Schrödinger operators exhibiting a sudden change of the spectral character**,

A talk at the IML workshop "Eigenvalues and Inequalities", Djursholm, May 2018**Some unusual spectra of periodic quantum graphs**,

a talk at the conference "Chaos, and what it can reveal", in honor of Petr eba 60th birthday, Hradec Králové, May 2017**Schrodinger operators with singular interactions on sets of codimension one**,

a talk at the conference "Operator Theory, Analysis and Mathematical Physics", Sankt Petersburg, August 2016**Singular Schrodinger operators and Robin billiards: geometry, spectra and asymptotic expansions**,

a talk at the conference "Operators, Operator Families and Asymptotics", Bath, May 2016**Schrodinger operators exhibiting parameter-dependent spectral transitions**,

a talk at the "Fourth Najman Conference on Spectral Problems for Operators and Matrices", Opatija, September 2015**Approximating quantum graphs by Schrodinger operators on thin networks**,

a talk at the "8th Congress of Romanian Mathematicians", Iasi, June 2015**A regular version of Smilansky model**,

a talk at GAMM Jahrestagung, Erlangen, March 2014**Schroedinger operators with narrow channels: unusual semiclassical behavior and spectral estimates**,

a talk at Universite de Provence, Aix-Marseille 1, Chateau Gombert, October 2013**The intriguing delta'**,

a talk at the conference "Quantum Spectra and Transport", in honor of Yosi Avron, Jerusalem, June-July 2013**Geometric properties of the ground state for Hamiltonians with singular interactions**,

a talk at the conference "Operator Theory, Analysis and Mathematical Physics", Barcelona, June 2012**There is more in quantum mechanics**,

a talk at the WPI-AIMR workshop "Cutting-edge Functional Materials for Green Innovation", Sendai, February 2012**Geometric properties of point-interaction Hamiltonians ground state**,

a talk at the workshop "The Boundary Value Problems and Spectral Geometry", Oberwolfach, January 2012-
**Quantum graphs and their generalizations**:**Lectures 1 and 2**,**Lectures 3 and 4**,**Lectures 5 and 6**,

a minicourse at the summer school "Mathematical Theory of Quantum Networks", Les Diablerets, June 2011 **Periodic quantum graphs and their local perturbations**,

a talk at the workshop "Spectral and Scattering Theory and Related Topics", Kyoto, February 2011**Quantum graphs: geometric perturbations, resonances, and Weyl asymptotics**,

a talk at the "Fifth International Conference on Operator Theory Analysis and Mathematical Physics", Bedlewo, August 2010**Loops and trees: spectral properties of quantum graphs**,

a talk at the "2nd St. Petersburg Conference in Spectral Theory" dedicated to the memory of M.Sh. Birman, St. Petersburg, July 2010**Quantum graphs with general vertex coupling: approximation by scaled Schroedinger operators on manifolds**,

a talk at the conference "Probabilistic and Analytical Methods in Mathematical Physics", Tsaghkadzor, September 2009**Approximation of nontrivial quantum graphs by Schroedinger operators on Neumann networks**,

a talk at the conference "Mathematical aspects of transport in mesoscopic systems", Dublin, December 2008**On the spectrum coming from "bending" a chain quantum graph**,

a talk at the conference to honour M. Havlicek's 70th birthday, Prague, October 2008**On quantum particles which change dimension**,

a talk at the workshop in memory of Vladimir Geyler, Berlin, April 2008**Dirichlet network squeezed to graphs, with a bent tube example**,

a talk at the QMath10 conference, Moeciu, September 2007**Inequalities for means of chords and related isoperimetric problems**,

a talk at the "6th Congress of Romanian Mathematicians", Bucharest, June 2007**Quantum networks modelled by graphs**,

a talk at the "Joint Physics/Mathematics Workshop on Quantum Few-Body Systems", Aarhus, March 2007**Quantum graphs and their applications**,

lectures given at the LMS/EPSRC short course "Analysis on Graphs and its Applications", Gregynog Hall, January 2007**Lectures on quantum graphs, ideal, leaky, and generalized**,

a minicourse given in NZIMA, University of Auckland, November 2006**Unstable system dynamics: do we understand it fully?**,

a talk at the 21st Max Born Symposium "Mathematical Problems in Nonrelativistic Quantum Dynamics", Wroclaw, June 2006**Spectra of Laplacians in twisted tubes**,

a talk at the conference "Spectral Theory of Differential Operators", in honour of*Michael Solomyak*, Rehovot, May 2006**Inequalities for means of chords, with applications to isoperimetric problems**,

a talk at the conference "Dynamics of Complex Quantum Systems", Rehovot and Haifa, December 2005**Reflections on Zeno and anti-Zeno**,

a talk at the conference "Operator Semigroups, Evolution Equations and Spectral Theory in Mathematical Physics", Marseille-Luminy, October 2005**Isoperimetric problems for point sources and inequalities for loop chords**,

a talk at the "Workshop on Computation and Analytical Problems in Spectral Theory", Gregynog, July 2005**Scattering and resonances in leaky quantum wires**,

a talk at the conference "Days on Diffraction'05", Sankt Petersburg, July 2005**Approximation**,*for*and*by*quantum graph Hamiltonians

a talk at the AMS Summer Research Conference "Quantum Graphs and Their Applications", Snowbird, Utah, June 2005**Isoperimetric problems for singular interactions in the planes**,

a talk at the UAB05 conference "Differential Equations and Mathematical Physics", Birmingham, Alabama, April 2005**Quantum waveguides: mathematical problems**,

a talk at the QMath9 conference, Presque'Ile de Giens, September 2004**Approximations of graphs vertices**,

a talk at the conference "Operator Theory and Applications in Mathematical Physics", Bedlewo, July 2004**Geometrically induced bound states in Dirichlet layers**,

a talk at the Wroclaw University, April 2004**Schroedinger operators with strongly attractive graph-type interaction**,

a talk at the Okayama University, March 2004**Quantum system coupling manifolds of different dimensionality**,

a talk at the Tokyo Metropolitan University, March 2004**Resonance effects in transport through leaky graphs**,

a talk at the conference "Resonances - from Physics to Mathematics and back", Dresden, January 2004

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