**Publications:**

**Books:**

- Pintea C., Geometry. Elements of Analytic Geometry. Elements of Differentiable Geometry of Curves and Surfaces, (in Romanian), Cluj University Press, Romania, 2001.
- Andrica, D., Pintea, C. Elements of Homotopy Theory with Applications to Critical Points Theory, (in Romanian), Mirton Publishing House, Timişoara, Romania, 2002.
- Pintea, C., Geometry. Differential Geometry, Riemannian Geometry, Lie groups and Lie Algebras, (in Romanian) Cluj University Press, Romania, 2006.
- Pintea, C., Szöllősi, I., An Introduction to Linear Algebra, Cluj University Press, Romania, 2014.

**Selected papers:**

*Continuous mappings with an infinite number of topologically critical points*. Ann. Polon. Math. 67 (1997), no. 1, 87-93.*A measure of non-immersability of the Grassmann manifolds in some Euclidean spaces*, Proc. of the Edinburgh Math. Soc., (41) 1998, 197-206.-
*Differentiable mappings with an infinite number of critical points*, Proc.Amer. Math. Soc., Vol. 128, no. 11, 2000, 3435-3444. *Closed sets which are not CS∞-critical,*Proc. Amer. Math. Soc. 133 (2005), no. 3, 923-930.-
*A measure of the deviation from there being fibrations between a pair of compact manifolds*, Differential Geom. Appl. 24 (2006), no. 6, 579-587. *Examples of smooth maps with finitely many critical points in dimensions (4,3), (8,5) and (16,9)*. With L. Funar and P. Zhang. Proc. Amer. Math. Soc. 138 (2010), no. 1, 355-365.*Isomorphic homotopy groups of certain regular sets and their images. With G.*Cicortaş*and L.*Ţopan*.*Topology Appl. 157 (2010), no. 3, 635-642.*The size of some critical sets by means of dimension and algebraic φ-category*, Topol. Methods Nonlinear Anal. 35 (2010), no. 2, 395-407.-
*On preimages of a class of generalized monotone operators. With G. Kassay.*Nonlinear Anal. 73 (2010), no. 11, 3537-3545. *Brinkman-type operators on Riemannian manifolds: transmission problems in Lipschitz and C1-domains. With M. Kohr and W. L.*Wendland*.*Potential Anal. 32 (2010), no. 3, 229-273.*Smooth mappings with higher dimensional critical sets*, Canad. Math. Bull. 53 (2010), no. 3, 542-549.-
*Size of tangencies to non-involutive distributions. With Z. Balogh and H. Rohner.*Indiana Univ. Math. J. 60 (2011), no. 6, 2061-2092. *Monotone operators and first category sets*. With G. Kassay and S. László. Positivity 16 (2012), no. 3, 565–577.*Global injectivity conditions for planar maps*. Monatsh. Math. 172 (2013), no. 3-4, 399-413.*The circular Morse-Smale characteristic of closed surfaces*. With D. Andrica and D. Mangra. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 57(105) (2014), no. 3, 235-242.*A class of generalized monotone operators. With D. Marian and I.R. Peter.*J. Math. Anal. Appl. 421 (2015), no. 2, 1827-1843.*Operations with monotone operators and the monotonicity of the resulting operators. With D. Marian and I.R. Peter*. Monaths. Math. 181(2016), no. 1, 143-168- Necessary conditions for finite critical sets. Maps with infinite critical sets. With I.R. Peter. Topol. Methods Nonlinear Anal., Vol. 47, No. 2, 2016, 739-749.
- Closed convex sets of Minkowski type. With Juan Enrique Martinez-Legaz. J. Math. Anal. Appl. 444 (2016), no. 2, 1195-1202.
- The monotonicity of perturbed gradients of convex functions. With T. Trif. J. Convex Anal. 24(2017), no. 2, 525-545.
- Manifolds which admit maps with finitely many critical points into spheres of small dimensions, With Louis Funar, Michigan Math. J., 67 (2018), 585-615.
- A nonlinear elliptic eigenvalue-transmission problem with Neumann boundary condition. With L. Barbu and Gh. Morosanu, Annali di Matematica Pura ed Applicata (1923-), 198(2019), Issue 3, 821-836.
- Convex decompositions of convex open sets with polytopes or finite sets removed, J. Convex Anal. 26(2019), no. 2.
- Closed convex sets with an open or closed Gauss range, With Juan Enrique Martinez-Legaz, Mathematical Programming, 2020.

**Research Projects:**

- Geometric Analysis, Research Training Network, a project of the European Commission (2000 - 2004) (member of the team 13, Coordinator - N.Teleman)
- Critical points and the Lusternik-Schnirelmann category. Variational Problems (2007-2008), CNCSIS (Coordinator)
- The equilibrium problem and its applications (2007-2010) CNCSIS (member, Coordinator G. Kassay)
- The study of the sets and applications through their fundamental properties, 2015, UBB (Individual Project)
- The structure and sensitivity of the solution sets of variational inequalities, optimization and equilibrium problems under generalized monotonicity, 2011- 2016 UEFISCDI (member, Coordinator - G. Kassay)
- Boundary value problems for elliptic systems on non-smooth domains with applications in fluid mechanics, 2011- 2016 UEFISCDI (member, Coordinator-M. Kohr)
- Equilibrium and optimization problems: theoretical and computational approaches, 2017-present UEFISCDI (member, Coordinator-G. Kassay)