I am glad you asked.

First, here is a list of GCTA studies which show, using a method comparing the genetic similarity of unrelated people (thereby avoiding all of the criticisms of the twin and family studies) that there are (lower bound) large contributions of common SNP genetic variants causing education (8 samples), socioeconomic status (5): https://en.wikipedia.org/wiki/Genome-wide_complex_trait_anal... brain size & structure (3), intelligence (17), and various measures of reaction time, memory, attention, reading, emotional understanding etc: https://en.wikipedia.org/wiki/Genome-wide_complex_trait_anal... These demonstrate that the outcomes are indeed heritable and the old criticisms moot and wrong.

Second, recent GWASes have had success in identifying educational & intelligence variants. (Since education is caused by intelligence, both on the phenotype and genetic levels, they often amount to the same thing; for example, in Rietveld et al 2013, the polygenic score created for predicting education turned out to predict intelligence even better in the Swedish draft cohort which happened to have IQ scores available.) What tokenadult fails to mention in his bibliography, even though I've called him out on this before, is that candidate-gene studies are totally obsolete and no one has done them for years, precisely because GWASes revealed they're useless and so everyone switched to GWASes with proper sample sizes, and surprise surprise, it worked... tokenadult ends his bibliography where it ought to begin. Anyway, the current state of the art is 162 SNPs at genome-wide statistical-significance, published in Okbay et al 2016's appendix by combining the SSGAC with the UK Biobank. Here are some (but not all, because the field keeps growing and it can be hard to keep track of all the papers reporting or replicating hits) relevant papers:

- Rietveld et al 2013 http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3751588/ "GWAS of 126,559 Individuals Identifies Genetic Variants Associated with Educational Attainment"; supplement: http://www.gwern.netdocs/iq/2013-rietveld-supplementary-revi...
- "Genome-wide association studies establish that human intelligence is highly heritable and polygenic" http://www.nature.com/mp/journal/v16/n10/full/mp201185a.html Davies et al 2011
- "Common DNA Markers Can Account for More Than Half of the Genetic Influence on Cognitive Abilities" http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3652710/ , Plomin et al 2013
- "Intelligence indexes generalist genes for cognitive abilities" http://www.sciencedirect.com/science/article/pii/S0160289613... Trzaskowski et al 2013
- "Results of a 'GWAS Plus': General Cognitive Ability Is Substantially Heritable and Massively Polygenic" http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjourna... , Kirkpatrick et al 2014
- "Common genetic variants associated with cognitive performance identified using the proxy-phenotype method" http://www.pnas.org/content/111/38/13790.full.pdf#page=1&vie... , Rietveld et al 2014; supplementary information http://www.pnas.org/content/suppl/2014/09/06/1404623111.DCSu...
- "Substantial SNP-based heritability estimates for working memory performance" http://www.nature.com/tp/journal/v4/n9/full/tp201481a.html , Vogler et al 2014
- "Genetic Variation Associated with Differential Educational Attainment in Adults Has Anticipated Associations with School Performance in Children" http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjourna... , Ward et al 2014
- "Thinking positively: The genetics of high intelligence" http://www.sciencedirect.com/science/article/pii/S0160289614...
- "The genetic architecture of pediatric cognitive abilities in the Philadelphia Neurodevelopmental Cohort" https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4294962/ , Robinson et al 2015
- "Genetic contributions to variation in general cognitive function: a meta-analysis of genome-wide association studies in the CHARGE consortium (_n_=53949)" http://www.nature.com/mp/journal/vaop/ncurrent/pdf/mp2014188... , Davies et al 2015
- "Genome-wide association study of cognitive functions and educational attainment in UK Biobank (_n_=112151)" http://www.nature.com/mp/journal/vaop/ncurrent/full/mp201645... , Davies et al 2016
- "The Genetics of Success: How Single-Nucleotide Polymorphisms Associated With Educational Attainment Relate to Life-Course Development" http://www.gwern.net/docs/genetics/2016-belsky.pdf , Belsky et al 2016
- "Genome-wide association study identifies 74 [162] loci associated with educational attainment" http://www.gwern.net/docs/iq/2016-okbay-2.pdf , Okbay et al 2016

So the answers to your questions are: 2013; yes.