The last few years have witnessed a rapid development in algebraic geometry, computer algebra, and string and field theory, as well as fruitful cross-fertilization amongst them. The dialogue between geometry and gauge theory is, of course, an old and rich one, leading to tools crucial to both. The introduction of algorithmic and computational algebraic geometry, however, is relatively new and is tremendously facilitated by the rapid progress in hardware, software as well as theory. Applications of once specialized mathematical topics such as Gröbner bases, sheaf cohomology, scheme theory, and Hilbert series are quickly becoming indispensible tools in theoretical physics, from topics ranging from AdS/CFT to string phenomenology, from supersymmetric gauge theory to Calabi-Yau compactifications, etc.

We invite investigators to contribute original research articles as well as review articles which will stimulate the continuing efforts tounderstand this wonderfully interdisciplinary subject. Manuscripts submitted to this Special Issue will be exempted from the journal's regular Article Processing Charges, if they were accepted for publication. Potential topics include, but are not limited to:

• Vector bundles over Calabi-Yau threefolds and their importance in the phenomenology of the heterotic string
• Calabi-Yau fourfolds and F-theory
• World-volume gauge theories of D-branes as well as M2-branes
• Quiver gauge theories and super-conformal gauge theories
• Brane-tilings, dimer models, and moduli space of gauge theories
• Counting BPS operators: the plethystic programme, Donaldson-Thomas invariants, and crystal melting
• Finding algebro-geometric signatures in important gauge theories such as SQCD or MSSM

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/ahep/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable: